Academic literature on the topic 'Lyapunov Functions'
Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles
Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Lyapunov Functions.'
Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.
You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.
Journal articles on the topic "Lyapunov Functions"
Stawiska, Małgorzata. "Plurisubharmonic Lyapunov functions." Michigan Mathematical Journal 52, no. 1 (April 2004): 131–40. http://dx.doi.org/10.1307/mmj/1080837739.
Full textOlas, Andrzej. "Recursive Lyapunov Functions." Journal of Dynamic Systems, Measurement, and Control 111, no. 4 (December 1, 1989): 641–45. http://dx.doi.org/10.1115/1.3153107.
Full textAvallone, Anna. "Lyapunov modular functions." Rendiconti del Circolo Matematico di Palermo 53, no. 2 (June 2004): 195–204. http://dx.doi.org/10.1007/bf02872871.
Full textSassano, Mario, and Alessandro Astolfi. "Dynamic Lyapunov functions." Automatica 49, no. 4 (April 2013): 1058–67. http://dx.doi.org/10.1016/j.automatica.2013.01.027.
Full textFathi, Albert, and Pierre Pageault. "Smoothing Lyapunov functions." Transactions of the American Mathematical Society 371, no. 3 (September 10, 2018): 1677–700. http://dx.doi.org/10.1090/tran/7329.
Full textSassano, M., and A. Astolfi. "Dynamic Lyapunov Functions." IFAC Proceedings Volumes 44, no. 1 (January 2011): 3409–14. http://dx.doi.org/10.3182/20110828-6-it-1002.03522.
Full textLevit, M. "Optimum Lyapunov functions." Dynamics and Control 5, no. 2 (April 1995): 163–90. http://dx.doi.org/10.1007/bf01973947.
Full textPappalardo, Massimo, and Mauro Passacantando. "Gap Functions and Lyapunov Functions." Journal of Global Optimization 28, no. 3/4 (April 2004): 379–85. http://dx.doi.org/10.1023/b:jogo.0000026455.72523.ed.
Full textKöksal, S., and V. Lakshmikantham. "Higher derivatives of Lyapunov functions and cone-valued Lyapunov functions." Nonlinear Analysis: Theory, Methods & Applications 26, no. 9 (May 1996): 1555–64. http://dx.doi.org/10.1016/0362-546x(94)00002-y.
Full textAtes, Muzaffer, and Nezir Kadah. "Novel stability and passivity analysis for three types of nonlinear LRC circuits." An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 11, no. 2 (July 31, 2021): 227–37. http://dx.doi.org/10.11121/ijocta.01.2021.001073.
Full textDissertations / Theses on the topic "Lyapunov Functions"
Otsuki, Nobukazu. "Lyapunov-like functions and geodesic flows." 京都大学 (Kyoto University), 1985. http://hdl.handle.net/2433/86363.
Full textElragig, Aiman Saleh. "On transients, Lyapunov functions and Turing instabilities." Thesis, University of Exeter, 2013. http://hdl.handle.net/10871/13789.
Full textMarikar, Mohamed Tariq. "Polyhedral Lyapunov functions and stabilization under polyhedral constraints." Thesis, Imperial College London, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.266114.
Full textDella, rossa Matteo. "Non smooth Lyapunov functions for stability analysis of hybrid systems." Thesis, Toulouse, INSA, 2020. http://www.theses.fr/2020ISAT0004.
Full textModeling of many phenomena in nature escape the rather common frameworks of continuous-time and discrete-time models. In fact, for many systems encountered in practice, these two paradigms need to be intrinsically related and connected, in order to reach a satisfactory level of description in modeling the considered physical/engineering process.These systems are often referred to as hybrid systems, and various possible formalisms have appeared in the literature over the past years.The aim of this thesis is to analyze the stability of particular classes of hybrid systems, by providing Lyapunov-based sufficient conditions for (asymptotic) stability. In particular, we will focus on non-differentiable locally Lipschitz candidate Lyapunov functions. The first chapters of this manuscript can be considered as a general introduction of this topic and the related concepts from non-smooth analysis.This will allow us to study a class of piecewise smooth maps as candidate Lyapunov functions, with particular attention to the continuity properties of the constrained differential inclusion comprising the studied hybrid systems. We propose ``relaxed'' Lyapunov conditions which require to be checked only on a dense set and discuss connections to other classes of locally Lipschitz or piecewise regular functions.Relaxing the continuity assumptions, we then investigate the notion of generalized derivatives when considering functions obtained as emph{max-min} combinations of smooth functions. This structure turns out to be particularly fruitful when considering the stability problem for differential inclusions arising from regularization of emph{state-dependent switched systems}.When the studied switched systems are composed of emph{linear} sub-dynamics, we refine our results, in order to propose algorithmically verifiable conditions.We further explore the utility of set-valued derivatives in establishing input-to-state stability results, in the context of perturbed differential inclusions/switched systems, using locally Lipschitz candidate Lyapunov functions. These developments are then used in analyzing the stability problem for interconnections of differential inclusion, with an application in designing an observer-based controller for state-dependent switched systems
Dos, Santos Paulino Ana Carolina. "Robust analysis of uncertain descriptor systems using non quadratic Lyapunov functions." Thesis, Strasbourg, 2018. http://www.theses.fr/2018STRAD049.
Full textUncertain descriptor systems are a convenient framework for simultaneously representing uncertainties in a model, as well as impulsive behavior and algebraic constraints. This is far beyond what can be depicted by standard dynamic systems, but it also means that the analysis of uncertain descriptor systems is more complex than the standard case. Research has been conducted to reduce the degree of conservatism in the analysis of uncertain descriptor systems. This can be achieved by using classes of Lyapunov functions that are known to be able to provide necessary and sufficient conditions for this evaluation. Homogeneous polynomial Lyapunov functions constitute one of such classes, but they have never been employed in the context of uncertain descriptor systems. In this thesis, we fill in this scientific gap, extending the use of homogeneous polynomial Lyapunov functions from the standard uncertain case for the uncertain descriptor one
Chao, Chien-Hsiang. "Robust stabilization of linear time-invariant uncertain systems via Lyapunov theory." Diss., Virginia Polytechnic Institute and State University, 1988. http://hdl.handle.net/10919/53928.
Full textPh. D.
Tan, Bin. "Invariant manifolds, invariant foliations and linearization theorems in Banach spaces." Diss., Georgia Institute of Technology, 1998. http://hdl.handle.net/1853/29421.
Full textKuhn, Zuzana. "Ranges of vector measures and valuations." Diss., Georgia Institute of Technology, 1997. http://hdl.handle.net/1853/30875.
Full textSilva, Flávio Henrique Justiniano Ribeiro da. "Funções de Lyapunov para a análise de estabilidade transitória em sistemas de potência." Universidade de São Paulo, 2001. http://www.teses.usp.br/teses/disponiveis/18/18133/tde-07032016-111317/.
Full textThe direct methods are well-suited for transient stability analysis to power systems, since they do not require the solution of the set of differential equations of the system model. The direct methods use the Lyapunov\'s ideas related to the LaSalle\'s invariance principle to estimate the power system attraction area. The great difficulty of the direct methods is to find an auxiliar function V, called Lyapunov function, which satisfies the conditions of Lyapunov\'s theorem. In this work, a bibliographic review of the Lyapunov functions used in transient stability analysis of power systems is done. The problem of existence of Lyapunov functions, when the transfer conductances are considered, is analysed. Using LaSalle\'s invariance principle extension, a Lyapunov function considering the transfer conductances is presented. The existence of Lyapunov functions for models that preserv the network structure was studied using the LaSalle\'s invariance principle. Unfortunately, in these cases, we did not find a function satisfing all the required hypothesis.
Marinósson, Sigurour Freyr. "Stability analysis of nonlinear systems with linear programming a Lyapunov functions based approach /." [S.l.] : [s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=982323697.
Full textBooks on the topic "Lyapunov Functions"
Malisoff, Michael, and Frédéric Mazenc. Constructions of Strict Lyapunov Functions. London: Springer London, 2009. http://dx.doi.org/10.1007/978-1-84882-535-2.
Full textFrédéric, Mazenc, and SpringerLink (Online service), eds. Constructions of Strict Lyapunov Functions. London: Springer London, 2009.
Find full text1943-, Abdulin R. Z., ed. Vector Lyapunov functions in stability theory. [Atlanta]: World Federation Publishers, 1996.
Find full textMartyni︠u︡k, A. A. Stability of motions: The role of multicomponent Liapunov's functions. Cambridge, UK: Cambridge Scientific Pub, 2007.
Find full textGiesl, Peter. Construction of Global Lyapunov Functions Using Radial Basis Functions. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-69909-5.
Full textI, Zinober A. S., ed. Variable structure and Lyapunov control. London: Springer-Verlag, 1994.
Find full textBogatyrev, A. V. Metody analiza ustoĭchivosti nelineĭnykh sistem upravlenii͡a na ĖVM. Moskva: Institut problem upravlenii͡a, 1989.
Find full textReĭzinʹ, L. Ė. Funkt︠s︡ii Li︠a︡punova i problemy razlichenii︠a︡. Riga: "Zinatne,", 1986.
Find full textLi︠a︡punov, A. M. Izbrannye trudy: Raboty po teorii ustoĭchivosti. Moskva: Nauka, 2007.
Find full textBehal, Aman. Lyapunov-based control of robotic systems. Boca Raton: CRC Press, 2009.
Find full textBook chapters on the topic "Lyapunov Functions"
Han, Xiaoying, and Peter Kloeden. "Lyapunov Functions." In SpringerBriefs in Mathematics, 41–48. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-61934-7_4.
Full textAubin, Jean-Pierre. "Lyapunov Functions." In Viability Theory, 315–50. Boston: Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4910-4_11.
Full textHenry, C. "Lyapunov Functions." In The New Palgrave Dictionary of Economics, 8062–69. London: Palgrave Macmillan UK, 2018. http://dx.doi.org/10.1057/978-1-349-95189-5_932.
Full textKloeden, Peter, and Martin Rasmussen. "Lyapunov functions." In Mathematical Surveys and Monographs, 129–45. Providence, Rhode Island: American Mathematical Society, 2011. http://dx.doi.org/10.1090/surv/176/07.
Full textHenry, C. "Lyapunov Functions." In The New Palgrave Dictionary of Economics, 1–8. London: Palgrave Macmillan UK, 1987. http://dx.doi.org/10.1057/978-1-349-95121-5_932-1.
Full textHenry, C. "Lyapunov Functions." In The New Palgrave Dictionary of Economics, 1–8. London: Palgrave Macmillan UK, 2008. http://dx.doi.org/10.1057/978-1-349-95121-5_932-2.
Full textBarreira, Luís. "Lyapunov Functions and Cones." In Lyapunov Exponents, 223–36. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-71261-1_11.
Full textBlanchini, Franco, and Stefano Miani. "Lyapunov and Lyapunov-like functions." In Set-Theoretic Methods in Control, 27–91. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17933-9_2.
Full textOrlov, Yury. "Control Lyapunov Functions." In Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions, 113–46. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-37625-3_5.
Full textSontag, Eduardo D. "Control-Lyapunov functions." In Open Problems in Mathematical Systems and Control Theory, 211–16. London: Springer London, 1999. http://dx.doi.org/10.1007/978-1-4471-0807-8_40.
Full textConference papers on the topic "Lyapunov Functions"
Liberzon, Daniel, Charles Ying, and Vadim Zharnitsky. "On almost Lyapunov functions." In 2014 IEEE 53rd Annual Conference on Decision and Control (CDC). IEEE, 2014. http://dx.doi.org/10.1109/cdc.2014.7039864.
Full textLazar, M. "Flexible control Lyapunov functions." In 2009 American Control Conference. IEEE, 2009. http://dx.doi.org/10.1109/acc.2009.5160426.
Full textGoebel, Rafal, Christophe Prieur, and Andrew R. Teel. "Smooth patchy control Lyapunov functions." In Proceedings of the 45th IEEE Conference on Decision and Control. IEEE, 2006. http://dx.doi.org/10.1109/cdc.2006.377706.
Full textMiani, Stefano, and Carlo Savorgnan. "Complex polytopic control Lyapunov functions." In Proceedings of the 45th IEEE Conference on Decision and Control. IEEE, 2006. http://dx.doi.org/10.1109/cdc.2006.377752.
Full text"2. Methods of Lyapunov functions." In 2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP). IEEE, 2015. http://dx.doi.org/10.1109/scp.2015.7342043.
Full textAthanasopoulos, N., and R. M. Jungers. "Polyhedral Path-Complete Lyapunov Functions." In 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE, 2019. http://dx.doi.org/10.1109/cdc40024.2019.9029905.
Full textBalestrino, Aldo, Andrea Caiti, Emanuele Crisostomi, and Sergio Grammatico. "R-composition of Lyapunov functions." In 2009 17th Mediterranean Conference on Control and Automation (MED). IEEE, 2009. http://dx.doi.org/10.1109/med.2009.5164527.
Full textKim, Kyung Soo, Ho Sub Lee, and PooGyeon Park. "Membership-Function-Dependent Stability Conditions Using Fuzzy Lyapunov Functions." In 2022 22nd International Conference on Control, Automation and Systems (ICCAS). IEEE, 2022. http://dx.doi.org/10.23919/iccas55662.2022.10003823.
Full textEbenbauer, Christian. "Detecting oscillatory behavior using Lyapunov functions." In 2007 46th IEEE Conference on Decision and Control. IEEE, 2007. http://dx.doi.org/10.1109/cdc.2007.4434537.
Full textArgáez, Carlos, Peter Giesl, and Sigurdur Hafstein. "Iterative Construction of Complete Lyapunov Functions." In 8th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. SCITEPRESS - Science and Technology Publications, 2018. http://dx.doi.org/10.5220/0006835402110222.
Full textReports on the topic "Lyapunov Functions"
Scheinker, Alexander. Introduction to Control Theory. Part 3. State Space, Stability, and Lyapunov Functions. Office of Scientific and Technical Information (OSTI), September 2015. http://dx.doi.org/10.2172/1214625.
Full textSchaub, H., J. L. Junkins, and R. D. Robinett. Adaptive external torque estimation by means of tracking a Lyapunov function. Office of Scientific and Technical Information (OSTI), March 1996. http://dx.doi.org/10.2172/212517.
Full textKozmina, Jelena, and Alytis Gruodis. Tool QUATTRO-20 for Examining of the Recurrent Sequencies Generated by Discrete Analogue of the Verhulst Equation. Publishing House - Vilnius Business College, June 2023. http://dx.doi.org/10.57005/ab.2023.1.3.
Full textMitra, Joydeep, Mohammed Ben-Idris, Omar Faruque, Scott Backhaus, and Sidart Deb. A Lyapunov Function Based Remedial Action Screening Tool Using Real-Time Data. Office of Scientific and Technical Information (OSTI), March 2016. http://dx.doi.org/10.2172/1421846.
Full textEvent-Triggered Adaptive Robust Control for Lateral Stability of Steer-by-Wire Vehicles with Abrupt Nonlinear Faults. SAE International, July 2022. http://dx.doi.org/10.4271/2022-01-5056.
Full text