Academic literature on the topic 'Robots Mathematical models'

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Journal articles on the topic "Robots Mathematical models"

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Korendiy, Vitaliy. "Generalized design diagram and mathematical model of suspension system of vibration-driven robot." Ukrainian Journal of Mechanical Engineering and Materials Science 7, no. 3-4 (2021): 1–10. http://dx.doi.org/10.23939/ujmems2021.03-04.001.

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Problem statement. Mobile robotic systems are widely used in various fields of industry and social life: from small household appliances to large-size road-building machinery. Specific attention of scientists and designers is paid to the vibration-driven locomotion systems able to move in the environments where the use of classical wheeled and caterpillar robots is impossible or inefficient. Purpose. The main objective of this paper consists in generalizing the actual research results dedicated to various design diagrams and mathematical models of suspension systems of mobile vibration-driven
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Mammadova, K. A. "Mathematical Modeling and Simulation of Robotic Dynamic Systems." Herald of Azerbaijan Engineering Academy 14, no. 4 (2022): 93–106. https://doi.org/10.52171/2076-0515_2022_14_04_93_106.

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The mathematical model of the robot generally consists of a nonlinear multi-link system, so varioussimplifications are used in the analysis of its properties. In particular, linear models of robots and controlsystems are commonly used to study the controllability and robustness of robots. In this case, linearmodels are built on the edges of the actions of the robot or system, the properties of which must bestudied. Therefore, in order to build linear models of a robot and its control system, it is first necessary tofind the fixed equations of a particular robot, as well as its control system a
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Matuliauskas, Arvydas, and Bronislovas Spruogis. "PIPELINE ROBOTS WITH ELASTIC ELEMENTS." TRANSPORT 17, no. 5 (2002): 177–81. http://dx.doi.org/10.3846/16483840.2002.10414039.

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In the article constructions of the pipeline robots with elastic elements are reviewed and the scheme of new original construction is presented. The mathematical models of a robot with one-dimensional vibration exciter with two degrees of freedom were developed and the equations of movement were formed and written. The mathematical model of the pipeline robot with circular elements is formed and its motion equations are presented.
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Chen, Qiang. "Research on Safety Control Technology for Dual Robots Based on Kinematic Models." Automation, Control and Intelligent Systems 12, no. 1 (2024): 15–21. http://dx.doi.org/10.11648/j.acis.20241201.12.

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The industrial robots play an important role in modern industrial manufacturing processes, and their applications are becoming increasingly widespread, greatly improving manufacturing efficiency and significantly enhancing the digitalization level of the manufacturing industry. Therefore, achieving safe control of multi robot collaborative work is of great significance for the stable and efficient operation of robot systems. This article proposes a dual robot safety control technology based on the kinematic model of industrial robots. Firstly, a mathematical model of the kinematic space of the
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Jiménez, Francisco Cuenca, Eusebio Jiménez López, Mario Acosta Flores, Francisco Ramón Peñuñuri Anguiano, Ricardo Javier Peón Escalante, and Juan José Delfín Vázquez. "Methodology for Modeling Coupled Rigid Multibody Systems Using Unitary Quaternions: The Case of Planar RRR and Spatial PRRS Parallel Robots." Robotics 14, no. 7 (2025): 94. https://doi.org/10.3390/robotics14070094.

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Quaternions are used in various applications, especially in those where it is necessary to model and represent rotational movements, both in the plane and in space, such as in the modeling of the movements of robots and mechanisms. In this article, a methodology to model the rigid rotations of coupled bodies by means of unit quaternions is presented. Two parallel robots were modeled: a planar RRR robot and a spatial motion PRRS robot using the proposed methodology. Inverse kinematic problems were formulated for both models. The planar RRR robot model generated a system of 21 nonlinear equation
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Moshayedi, Ata Jahangir, Atanu Shuvam Roy, Sithembiso Khaya Sambo, Yangwan Zhong, and Liefa Liao. "Review On: The Service Robot Mathematical Model." EAI Endorsed Transactions on AI and Robotics 1 (February 23, 2022): 1–19. http://dx.doi.org/10.4108/airo.v1i.20.

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After nearly 30 years of development, service robot technology has made important achievements in the interdisciplinary aspects of machinery, information, materials, control, medicine, etc. These robot types have different shapes, and mainly in some are shaped based on application. Till today various structure are proposed which for the better analysis’s need to have the mathematical equation that can model the structure and later the behaviour of them after implementing the controlling strategy. The current paper discusses the various shape and applications of all available service robots and
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Golubev, Yu F. "Getting over wide obstacles by the multi-legged robot." Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ 518, no. 1 (2024): 40–50. http://dx.doi.org/10.31857/s2686954324040078.

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An upper estimate of the maximum width of the forbidden zone for foot fulcrums, which a walking robot with many legs can overcome in static stability mode, is presented. Using the mathematical models of six-legged and four-legged robots, it is shown that the obtained estimate can't be improved. For this purpose, the sequences of the robot's foot placement have been formed, ensuring the achievement of the estimation meaning. The dependence of the maximum width of the zone on the length of the body was found for the six-legged robot model.
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Hernandez, Joannes Paulus Tolentino. "Compassionate Care with Autonomous AI Humanoid Robots in Future Healthcare Delivery: A Multisensory Simulation of Next-Generation Models." Biomimetics 9, no. 11 (2024): 687. http://dx.doi.org/10.3390/biomimetics9110687.

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The integration of AI and robotics in healthcare raises concerns, and additional issues regarding autonomous systems are anticipated. Effective communication is crucial for robots to be seen as “caring”, necessitating advanced mechatronic design and natural language processing (NLP). This paper examines the potential of humanoid robots to autonomously replicate compassionate care. The study employs computational simulations using mathematical and agent-based modeling to analyze human–robot interactions (HRIs) surpassing Tetsuya Tanioka’s TRETON. It incorporates stochastic elements (through neu
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Migdalovici, Marcel, L. Vladareanu, Hongnian Yu, et al. "The walking robots critical position of the kinematics or dynamic systems applied on the environment model." International Journal of Engineering & Technology 7, no. 2.28 (2018): 134. http://dx.doi.org/10.14419/ijet.v7i2.28.12896.

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The exposure is dedicated in the first to mathematical modeling of the environment where the aspects on the walking robots evolution models are described. The environment’s mathematical model is defined through the models of kinematics or dynamic systems in the general case of systems that depend on parameters. The important property of the dynamic system evolution models that approach the phenomenon from the environment is property of separation between stable and unstable regions from the free parameters domain of the system. Some mathematical conditions that imply the separation of stable r
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Cerrillo, Diego, Antonio Barrientos, and Jaime Del Cerro. "Kinematic Modelling for Hyper-Redundant Robots—A Structured Guide." Mathematics 10, no. 16 (2022): 2891. http://dx.doi.org/10.3390/math10162891.

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Obtaining mathematical equations to model the kinematics of a hyper-redundant robot is not intuitive and of greater difficulty than for traditional robots. Depending on the characteristics of the robot, the most appropriate methodology to approach the modelling may be one or another. This article provides a general overview of the different approaches there are when modelling a hyper-redundant cable-driven robot, while proposing a guide to help the novel researcher that approaches this field decide which methodology to apply when modelling a robot. After providing some definitions, a simple fr
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Dissertations / Theses on the topic "Robots Mathematical models"

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Ma, Ou. "Dynamics of serial-type robotic manipulators." Thesis, McGill University, 1987. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=63771.

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Zhu, Wenkai, and 朱文凯. "Performance optimisation of mobile robots in dynamic environments." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2012. http://hub.hku.hk/bib/B49617904.

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Rousing applications of robot teams abound over the past three decades, but ferocious demands for viable systems to coordinate teams of mobile robots in dynamic environments still linger on. To meet this challenge, this project proposes a performance optimisation system for mobile robots to make the team performance more reliable and efficient in dynamic environments. A wide range of applications will benefit from the system, such as logistics, military, and disaster rescue. The performance optimisation system comprises three main modules: (1) a task allocation module to assign tasks to rob
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Sood, Gaurav. "Simulation and control of a hip actuated robotic model for the study of human standing posture." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=99794.

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Human stance in quiet mode, relies on feedback from eyes, skin, muscles and the inner ear and the control produced is a combination of strategies which enable a person to stay standing. This thesis presents the simulation and control of a hip actuated robotic model of human standing posture.<br>The first part of the thesis is devoted to recalling basic elements of the human balance system and to describe the balance strategies it uses to maintain an upright stance. Of the strategies presented, we consider the hip strategy which motivated the formulation of a hip actuated robot. An investigatio
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Guo, Lin 1962. "Controller estimation for the adaptive control of robotic manipulators." Thesis, McGill University, 1987. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=63860.

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Yang, Xuedong. "Modeling and control of two-axis belt-drive gantry robots." Diss., Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/13061.

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朱國基 and Kwok-kei Chu. "Design and control of a six-legged mobile robot." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B31225895.

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Carey, Mara L. "An enhanced integrated-circuit implementation of muscular contraction." Thesis, Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/15507.

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Rusaw, Shawn. "Sensor-based motion planning via nonsmooth analysis." Thesis, University of Oxford, 2002. http://ora.ox.ac.uk/objects/uuid:46fa490d-c4ca-45ad-9cd5-b1f11920863d.

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In this thesis we present a novel approach to sensor-based motion planning developed using the mathematical tools provided by the field of nonsmooth analysis. The work is based on a broad body of background material developed using the tools of differential topology (smooth analysis), that is limited to simple cases like a point or circular robot. Nonsmooth analysis is required to extend this background work to the case of a polygonal robot moving amidst polygonal obstacles. We present a detailed nonsmooth analysis of the distance function for arbitrary configuration spaces and use this analys
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Ngan, Choi-chik, and 顔才績. "A hidden Markov model approach to force-based contact recognition for intelligent robotic assembly." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B31243496.

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Feng, Jingbin. "Quasi-Static Deflection Compensation Control of Flexible Manipulator." PDXScholar, 1993. https://pdxscholar.library.pdx.edu/open_access_etds/4759.

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The growing need in industrial applications of high-performance robots has led to designs of lightweight robot arms. However the light-weight robot arm introduces accuracy and vibration problems. The classical robot design and control method based on the rigid body assumption is no longer satisfactory for the light-weight manipulators. The effects of flexibility of light-weight manipulators have been an active research area in recent years. A new approach to correct the quasi-static position and orientation error of the end-effector of a manipulator with flexible links is studied in this proje
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Books on the topic "Robots Mathematical models"

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Buratowski, Tomasz. Mobile robots - selected issues: Mobilne roboty - zagadnienia wybrane. AGH University of science and Technology Press, 2013.

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Kozłowski, Krzysztof. Modele matematyczne dynamiki robotów oraz identyfikacja parametrów tych modeli. Politechnika Poznańska, 1992.

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Megahed, Saïd M. Principles of robot modelling and simulation. Wiley, 1993.

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Megahed, Saïd M. Principles of robot modelling and simulation. J. Wiley, 1993.

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X, Liu John, ed. Robots manipulators: New research. Nova Science, 2005.

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Nikiforov, S. O. Metody rascheta tochnostnykh kharakteristik promyshlennykh robotov. Buri͡atskiĭ nauch. t͡sentr SO AN SSSR, 1989.

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Han, Ding, and Xiong You-Lun, eds. Fundamentals of robotic grasping and fixturing. World Scientific, 2007.

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R, Dzamoev Ė. Modeli robotizirovannykh proizvodstv. "Shtiint͡s︡a", 1985.

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Markhadaev, B. E. Tochnostnye modeli promyshlennykh robotov. Izd-vo BNT͡S︡, Assot͡s︡iirovannyĭ chlen Izd-va SO RAN, 1998.

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Nourbakhsh, Illah Reza. Interleaving planning and execution for autonomous robots. Kluwer Academic Publishers, 1997.

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Book chapters on the topic "Robots Mathematical models"

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Antonelli, Gianluca. "Mathematical models." In Underwater Robots. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-14387-2_7.

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Stager, Adam, and Herbert G. Tanner. "Mathematical Models for Physical Interactions of Robots in Planar Environments." In Springer Proceedings in Advanced Robotics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-33950-0_47.

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Ijspeert, Auke Jan. "Decoding the Neural Mechanisms Underlying Locomotion Using Mathematical Models and Bio-inspired Robots: From Lamprey to Human Locomotion." In Springer Proceedings in Advanced Robotics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51532-8_11.

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Tsui, Chia-Chi. "System Mathematical Models." In Robust Control System Design, 3rd ed. CRC Press, 2022. http://dx.doi.org/10.1201/9781003259572-1.

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Ben-Haim, Yakov. "Reliability of Mathematical Models." In Robust Reliability in the Mechanical Sciences. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-61154-4_6.

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Dosaev, Marat, Yury Okunev, Ren-Chyuan Luo, Vitaly Samsonov, and Olga Vasiukova. "A Mathematical Model for Robot-Indenter." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42402-6_15.

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Vukobratović, Miomir. "Computer Forming of Mathematical Model of Manipulation Robots Dynamics." In Applied Dynamics of Manipulation Robots. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83866-8_2.

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Aprosin, Konstantin, Aleksander Tavlintcev, Sergey Semenenko, and Maria Shorikova. "Kite Sailing Platform Mathematical Model and Stabilization." In Robotic Sailing 2015. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-23335-2_5.

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Papcun, Peter, and Ján Jadlovský. "Mathematical Model of Robot Melfa RV-2SDB." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-10783-7_16.

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Kataoka, Takayuki. "A Mathematical Model Considering Multi-skilled Operators and Industrial Robots on Reconfigurable Manufacturing Cells." In Lecture Notes in Mechanical Engineering. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-28839-5_39.

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AbstractA sustainable reconfigurable manufacturing system is one of the most important topics concerning sustainability. Basically, the reconfigurable manufacturing systems have two streams. One is the machine-intensive and the other is the labour-intensive. The machine-intensive means a cell formation problem (CFP) or a reconfigurable manufacturing system (RMS). On the other hand, the labour-intensive means a cellular manufacturing (CM) or a Cell Production System (CPS). Almost all manufacturing sites have these assembly lines separately, however, some advanced manufacturing sites have adopte
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Conference papers on the topic "Robots Mathematical models"

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Łuba, Piotr, and Krzysztof Kołek. "Data acquisition, mathematical model and energy saving strategy for a building heated with the central heating system." In 2024 28th International Conference on Methods and Models in Automation and Robotics (MMAR). IEEE, 2024. http://dx.doi.org/10.1109/mmar62187.2024.10680775.

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Archila, John Faber, and Marcelo Becker. "Study of Robots to Pipelines, Mathematical Models and Simulation." In 2013 Latin American Robotics Symposium and Competition (LARS/LARC). IEEE, 2013. http://dx.doi.org/10.1109/lars.2013.51.

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Lindsey, Quentin J., Michael Shomin, and Vijay Kumar. "Cooperative Quasi-Static Planar Manipulation With Multiple Robots." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28585.

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In this paper we address the modeling, control, and planning of planar manipulation tasks with multiple robots equipped with simple end-effectors. Each robot is able to influence the motion of an object either by exerting forces through the end-effector or by contact through a robot body. We develop a quasi-static model for the planar manipulation task that incorporates mathematical models of the object-ground contact, the object-robot contact and the compliant end-effector. This model allows us to predict object velocities for specified robot motions. We use this model to develop a simple mot
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Dhami, Sukhdeep S., Ashutosh Sharma, Rohit Kumar, and Parveen Kalra. "Gesture Based Control of a Simulated Robot Manipulator." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-47419.

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The number of industrial and household robots is fast increasing. A simpler human-robot interaction is preferred in household robotic applications as well as in hazardous environments. Gesture based control of robots is a step in this direction. In this work, a virtual model of a 3-DOF robotic manipulator is developed using V-Realm Builder in MATLAB and the mathematical models of forward and inverse kinematics of the manipulator are coded in MATLAB/Simulink software. Human hand gestures are captured using a smartphone with accelerometer and orientation sensors. A wireless interface is provided
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Pustina, Pietro, Davide Calzolari, Alin Albu-Schäffer, Alessandro De Luca, and Cosimo Della Santina. "Nonlinear Modes as a Tool for Comparing the Mathematical Structure of Dynamic Models of Soft Robots." In 2024 IEEE 7th International Conference on Soft Robotics (RoboSoft). IEEE, 2024. http://dx.doi.org/10.1109/robosoft60065.2024.10521987.

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Bulgakov, Alexej, and Thomas Bock. "Mathematical Models Construction for Building Robots with Due Account of Elastic Deformations of Mechanisms." In 22nd International Symposium on Automation and Robotics in Construction. International Association for Automation and Robotics in Construction (IAARC), 2005. http://dx.doi.org/10.22260/isarc2005/0012.

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Harada, Takashi, and Motoya Nagase. "Configurations and mathematical models of parallel link mechanisms using multi drive linear motors." In 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2009). IEEE, 2009. http://dx.doi.org/10.1109/iros.2009.5354422.

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Gandra, Chandravamsi, and Phanindra Tallapragada. "Dynamics of a Vibration Driven Bristlebot." In ASME 2019 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/dscc2019-9018.

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Abstract Vibration driven robots such as the so called bristlebot and kilobot utilize periodic forced vibration of an internal mass to achieve directed locomotion. These robots are supported on an elastic element such as bristles or cilia and contain an internal mass that is driven to oscillate at a high frequency. Besides well known applications in investigating swarming behavior, such robots have potential applications in rescue operations in rubble, inspections of pipes and other inaccessible confined areas and in medical devices where conventional means of locomotion is ineffective. Bristl
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Feng, Shumin, Hailin Ren, Xinran Wang, and Pinhas Ben-Tzvi. "Mobile Robot Obstacle Avoidance Based on Deep Reinforcement Learning." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97536.

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Abstract Obstacle avoidance is one of the core problems in the field of mobile robot autonomous navigation. This paper aims to solve the obstacle avoidance problem using Deep Reinforcement Learning. In previous work, various mathematical models have been developed to plan collision-free paths for such robots. In contrast, our method enables the robot to learn by itself from its experiences, and then fit a mathematical model by updating the parameters of a neural network. The derived mathematical model is capable of choosing an action directly according to the input sensor data for the mobile r
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MORISHITA, YOSUKE, DAISUKE SANNOHE, TATSUYA OSAWA, TOMOYA TANAKA, and TARO NAKAMURA. "DERIVATION OF MATHEMATICAL MODELS OF THE PERISTALTIC CRAWLING ROBOT FOR MAINTENANCE OF A MIXING TANK." In Proceedings of the 16th International Conference on Climbing and Walking Robots and the Support Technologies for Mobile Machines. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814525534_0035.

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Reports on the topic "Robots Mathematical models"

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Pasupuleti, Murali Krishna. Neural Computation and Learning Theory: Expressivity, Dynamics, and Biologically Inspired AI. National Education Services, 2025. https://doi.org/10.62311/nesx/rriv425.

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Abstract: Neural computation and learning theory provide the foundational principles for understanding how artificial and biological neural networks encode, process, and learn from data. This research explores expressivity, computational dynamics, and biologically inspired AI, focusing on theoretical expressivity limits, infinite-width neural networks, recurrent and spiking neural networks, attractor models, and synaptic plasticity. The study investigates mathematical models of function approximation, kernel methods, dynamical systems, and stability properties to assess the generalization capa
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Perdigão, Rui A. P., and Julia Hall. Empowering Next-Generation Synergies among Models and Data with Information Physical Quantum Technological Intelligence. Synergistic Manifolds, 2024. https://doi.org/10.46337/241209.

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We present and deploy our methodological and technological framework of Information Physical Quantum Technological Intelligence (IPQuTI), to empower next-generation mathematically robust, physically consistent, computationally efficient and operationally scalable synergies among models and data across multisectoral theoretical and applied workflows. Going beyond digital computing platforms, IPQuTI encompasses a richer basis alphabet of fundamental quantum states (information building blocks) and a high-order set of superposition and entanglement functionals (grammar) beyond the state of the ar
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Estrella, Tony, Carla Alfonso, Lluis Capdevila, and Josep-Maria Losilla. Machine learning for the analysis of healthy lifestyle data: a scoping review protocol. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, 2023. http://dx.doi.org/10.37766/inplasy2023.3.0065.

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Review question / Objective: The objective of this scoping review is to identify and characterize machine learning algorithms used in data analysis of healthy lifestyle. The specific objectives are the study of a) terminology, b) healthy lifestyle variables analysed either input or output, c) programs and libraries used to analyse data, and d) sources, types, and quality of data analysed. Eligibility criteria: In this scoping review the inclusion criteria from studies that provide empirical information are as follows: a) studies must use machine learning models either supervised or unsupervise
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Johra, Hicham. Simple uncertainty budget and assessment with the Kragten method: Examples for building physics. Department of the Built Environment, 2024. http://dx.doi.org/10.54337/aau633631860.

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The aim of this lecture note is to present and exemplify the Kragten method to calculate the combined uncertainty (uncertainty budget) of a measurand from the standard uncertainty estimates of individual inputs of that measurand, and the mathematical formulation of that measurand. If these two elements are not available, the Kragten method cannot be applied. The method also provides sensitivity (significance) assessment of the different components (inputs) in the combined uncertainty budget. The Kragten method for uncertainty calculation is very simple yet a robust and accurate alternative to
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