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Автор: Grafiati

Опубліковано: 14 березня 2023

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1

Martsinkovsky, Alex, and Jeremy Russell. "Injective stabilization of additive functors, III. Asymptotic stabilization of the tensor product." Algebra and Discrete Mathematics 31, no. 1 (2021): 120–51. http://dx.doi.org/10.12958/adm1728.

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The injective stabilization of the tensor product is subjected to an iterative procedure that utilizes its bifunctor property. The limit of this procedure, called the asymptotic stabilization of the tensor product, provides a homological counterpart of Buchweitz's asymptotic construction of stable cohomology. The resulting connected sequence of functors is isomorphic to Triulzi's J-completion of the Tor functor. A comparison map from Vogel homology to the asymptotic stabilization of the tensor product is constructed and shown to be always epic. The category of finitely presented functors is shown to be complete and cocomplete. As a consequence, the inert injective stabilization of the tensor product with fixed variable a finitely generated module over an artin algebra is shown to be finitely presented. Its defect and consequently all right-derived functors are determined. New notions of asymptotic torsion and cotorsion are introduced and are related to each other.

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2

Liaw, Der-Cherng. "Asymptotic stabilization of driftless systems." International Journal of Control 72, no. 3 (January 1999): 206–14. http://dx.doi.org/10.1080/002071799221190.

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3

Clarke, F. H., Y. S. Ledyaev, E. D. Sontag, and A. I. Subbotin. "Asymptotic controllability implies feedback stabilization." IEEE Transactions on Automatic Control 42, no. 10 (1997): 1394–407. http://dx.doi.org/10.1109/9.633828.

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4

Hermes, Henry. "Asymptotic stabilization of planar systems." Systems & Control Letters 17, no. 6 (December 1991): 437–43. http://dx.doi.org/10.1016/0167-6911(91)90083-q.

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5

Ancona, Fabio, and Alberto Bressan. "Patchy Vector Fields and Asymptotic Stabilization." ESAIM: Control, Optimisation and Calculus of Variations 4 (1999): 445–71. http://dx.doi.org/10.1051/cocv:1999117.

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6

Efimov, D. V. "UNIVERSAL FORMULA FOR OUTPUT ASYMPTOTIC STABILIZATION." IFAC Proceedings Volumes 35, no. 1 (2002): 239–44. http://dx.doi.org/10.3182/20020721-6-es-1901.01111.

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7

Liang, Yew-Wen, and Der-Cherng Liaw. "On asymptotic stabilization of driftless systems." Applied Mathematics and Computation 114, no. 2-3 (September 2000): 303–14. http://dx.doi.org/10.1016/s0096-3003(99)00125-3.

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8

Najafi, Ali, Mohammad Eghtesad, and Farhang Daneshmand. "Asymptotic stabilization of vibrating composite plates." Systems & Control Letters 59, no. 9 (September 2010): 530–35. http://dx.doi.org/10.1016/j.sysconle.2010.06.008.

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9

Grillo, Sergio, Jerrold E. Marsden, and Sujit Nair. "Lyapunov constraints and global asymptotic stabilization." Journal of Geometric Mechanics 3, no. 2 (2011): 145–96. http://dx.doi.org/10.3934/jgm.2011.3.145.

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10

Li, Zhengguo, Wenchao Gao, Changzuo Goh, Miaolong Yuan, Eam Khwang Teoh, and Qinyuan Ren. "Asymptotic Stabilization of Nonholonomic Robots Leveraging Singularity." IEEE Robotics and Automation Letters 4, no. 1 (January 2019): 41–48. http://dx.doi.org/10.1109/lra.2018.2878605.

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11

Bloch, Anthony M., Dong Eui Chang, Naomi E. Leonard, Jerrold E. Marsden, and Craig Woolsey. "Asymptotic Stabilization of Euler-Poincaré Mechanical Systems." IFAC Proceedings Volumes 33, no. 2 (March 2000): 51–56. http://dx.doi.org/10.1016/s1474-6670(17)35546-5.

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12

Byrnes, C. I., and A. Isidori. "Asymptotic stabilization of minimum phase nonlinear systems." IEEE Transactions on Automatic Control 36, no. 10 (1991): 1122–37. http://dx.doi.org/10.1109/9.90226.

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13

Wan, Chih‐Jian, Vincent T. Coppola, and Dennis S. Bernstein. "GLOBAL ASYMPTOTIC STABILIZATION OF THE SPINNING TOP." Optimal Control Applications and Methods 16, no. 3 (July 1995): 189–215. http://dx.doi.org/10.1002/j.1099-1514.1995.tb00014.x.

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14

Sattayatham, P., R. Saelim, and S. Sujitjorn. "STABILITY AND STABILIZATION OF NONLINEAR DYNAMICAL SYSTEMS." ASEAN Journal on Science and Technology for Development 20, no. 1 (December 21, 2017): 61–70. http://dx.doi.org/10.29037/ajstd.375.

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Анотація:

Exponential and asymptotic stability for a class of nonlinear dynamical systems with uncertainties is investigated. Based on the stability of the nominal system, a class of bounded continuous feedback controllers is constructed. By such a class of controllers, the results guarantee exponential and asymptotic stability of uncertain nonlinear dynamical system. A numerical example is also given to demonstrate the use of the main result.

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15

Mazenc, F., and J. C. Vivalda. "Global Asymptotic Output Feedback Stabilization of Feedforward Systems." European Journal of Control 8, no. 6 (January 2002): 519–30. http://dx.doi.org/10.3166/ejc.8.519-530.

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16

Zaitsev, Vasilii. "Global asymptotic stabilization of autonomous bilinear complex systems." European Journal of Control 65 (May 2022): 100644. http://dx.doi.org/10.1016/j.ejcon.2022.100644.

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17

Kornev, A. A., and A. V. Ozeritskii. "Numerical stability of one method of asymptotic stabilization." Moscow University Mathematics Bulletin 62, no. 1 (February 2007): 34–37. http://dx.doi.org/10.3103/s002713220701007x.

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18

Malisoff, Michael, Ludovic Rifford, and Eduardo Sontag. "Global Asymptotic Controllability Implies Input-to-State Stabilization." SIAM Journal on Control and Optimization 42, no. 6 (January 2004): 2221–38. http://dx.doi.org/10.1137/s0363012903422333.

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19

Ivanchikov, A. A., A. A. Kornev, and A. V. Ozeritskii. "On a new approach to asymptotic stabilization problems." Computational Mathematics and Mathematical Physics 49, no. 12 (December 2009): 2070–84. http://dx.doi.org/10.1134/s0965542509120070.

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20

ZUYEV, A. "Partial asymptotic stabilization of nonlinear distributed parameter systems☆." Automatica 41, no. 1 (January 2005): 1–10. http://dx.doi.org/10.1016/s0005-1098(04)00240-7.

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21

Ma, Bao-li. "Global -exponential asymptotic stabilization of underactuated surface vessels." Systems & Control Letters 58, no. 3 (March 2009): 194–201. http://dx.doi.org/10.1016/j.sysconle.2008.10.011.

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22

Nicaise, Serge. "Stabilization and asymptotic behavior of dispersive medium models." Systems & Control Letters 61, no. 5 (May 2012): 638–48. http://dx.doi.org/10.1016/j.sysconle.2012.03.001.

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23

Assala, N., and M. Hamraoui. "Global Asymptotic Stabilization of Zero Deficiency Kinetic Networks." IFAC Proceedings Volumes 30, no. 6 (May 1997): 435–41. http://dx.doi.org/10.1016/s1474-6670(17)43403-3.

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24

Namadchian, Ali, and Mehdi Ramezani. "Asymptotic stabilization of a class of nonlinear SDEs." Nonlinear Dynamics 100, no. 2 (March 4, 2020): 1431–40. http://dx.doi.org/10.1007/s11071-020-05546-1.

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25

Mazenc, Frédéric, and Michael Malisoff. "Asymptotic stabilization for feedforward systems with delayed feedbacks." Automatica 49, no. 3 (March 2013): 780–87. http://dx.doi.org/10.1016/j.automatica.2012.11.049.

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26

Montenbruck, Jan Maximilian, and Frank Allgöwer. "Asymptotic stabilization of submanifolds embedded in Riemannian manifolds." Automatica 74 (December 2016): 349–59. http://dx.doi.org/10.1016/j.automatica.2016.07.026.

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27

Coron, Jean Michel. "Global asymptotic stabilization for controllable systems without drift." Mathematics of Control, Signals, and Systems 5, no. 3 (September 1992): 295–312. http://dx.doi.org/10.1007/bf01211563.

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28

Cheng, D., W. P. Dayawansa, C. F. Martin, and G. Knowles. "Local Asymptotic Stabilization of Two Dimensional Polynomial Systems." IFAC Proceedings Volumes 22, no. 3 (June 1989): 185–88. http://dx.doi.org/10.1016/s1474-6670(17)53631-9.

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29

Yongping Pan, Haoyong Yu, and Tairen Sun. "Global Asymptotic Stabilization Using Adaptive Fuzzy PD Control." IEEE Transactions on Cybernetics 45, no. 3 (March 2015): 574–82. http://dx.doi.org/10.1109/tcyb.2014.2331460.

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30

Ghommam, J., F. Mnif, A. Benali, and N. Derbel. "Asymptotic Backstepping Stabilization of an Underactuated Surface Vessel." IEEE Transactions on Control Systems Technology 14, no. 6 (November 2006): 1150–57. http://dx.doi.org/10.1109/tcst.2006.880220.

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31

Dayawansa, W. P., and C. F. Martin. "Asymptotic stabilization of two dimensional real analytic systems." Systems & Control Letters 12, no. 3 (April 1989): 205–11. http://dx.doi.org/10.1016/0167-6911(89)90051-0.

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32

Emelyanov, Stanislav, Sergey Korovin, Igor Mamedov, and Alexey Nosov. "Asymptotic invariance and stabilization of uncertain delay systems." Dynamics and Control 4, no. 1 (January 1994): 39–58. http://dx.doi.org/10.1007/bf02115738.

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33

Zuyev, Alexander. "Partial asymptotic stabilization of nonlinear distributed parameter systems." Automatica 41, no. 1 (January 2005): 1–10. http://dx.doi.org/10.1016/j.automatica.2004.08.009.

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34

Si, Xindong, Zhen Wang, Zhibao Song, and Ziye Zhang. "Asymptotic Stabilization of Delayed Linear Fractional-Order Systems Subject to State and Control Constraints." Fractal and Fractional 6, no. 2 (January 27, 2022): 67. http://dx.doi.org/10.3390/fractalfract6020067.

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Анотація:

Studies have shown that fractional calculus can describe and characterize a practical system satisfactorily. Therefore, the stabilization of fractional-order systems is of great significance. The asymptotic stabilization problem of delayed linear fractional-order systems (DLFS) subject to state and control constraints is studied in this article. Firstly, the existence conditions for feedback controllers of DLFS subject to both state and control constraints are given. Furthermore, a sufficient condition for invariance of polyhedron set is established by using invariant set theory. A new Lyapunov function is constructed on the basis of the constraints, and some sufficient conditions for the asymptotic stability of DLFS are obtained. Then, the feedback controller and the corresponding solution algorithms are given to ensure the asymptotic stability under state and control input constraints. The proposed solution algorithm transforms the asymptotic stabilization problem into a linear/nonlinear programming (LP/NP) problem which is easy to solve from the perspective of computation. Finally, three numerical examples are offered to illustrate the effectiveness of the proposed method.

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35

Wu, Cai Yun, and Ben Niu. "Robust Stabilization for a Class of Switched Nonlinear Systems." Advanced Materials Research 490-495 (March 2012): 1536–40. http://dx.doi.org/10.4028/www.scientific.net/amr.490-495.1536.

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This paper addresses the stabilization problem for a class of switched nonlinear systems with Lipschitz nonlinearities using the multiple Lyapunov functions (MLFs) approach. A state feedback controller and a state dependent switching law are proposed to asymptotic stabilization the switched system via linear matrix inequalities (LMI). The developed control strategy ensures asymptotic stability of the closed-loop system even if the nonlinear part . Finally, the feasibility of the proposed method is illustrated through a simulation example

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36

Zhang, Pengfei, and Tingting Yang. "Asymptotic stabilization of underactuated surface vehicles with actuator saturation." PeerJ Computer Science 7 (November 24, 2021): e793. http://dx.doi.org/10.7717/peerj-cs.793.

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This paper investigates the problem of global asymptotic stabilization of underactuated surface vessels (USVs) with input saturation. A novel input transformation is presented, so that the USV system can be transformed to a cascade structure. For the obtained system, the improved fractional power control laws are proposed to ensure input signals do not exceed actuator constraints and enhance convergence rates. Finally, stabilization and parameter optimization algorithm of USVs are proposed. Simulations are given to demonstrate the effectiveness of the presented method.

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37

Wei, Jing, Hongyinping Feng, and Bao-Zhu Guo. "Asymptotic stabilization for a wave equation with periodic disturbance." IMA Journal of Mathematical Control and Information 37, no. 3 (November 28, 2019): 894–917. http://dx.doi.org/10.1093/imamci/dnz034.

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Abstract In this paper, we consider boundary stabilization for a one-dimensional wave equation subject to periodic disturbance. By regarding the periodic signal as a boundary output of a free wave equation, we transform the controlled plant into a coupled wave system. We first design a state observer for the coupled system to estimate the disturbance and the system state simultaneously. An output feedback control is then designed to stabilize the original system. As an application, the result is applied to the stabilization of a wave equation with periodic disturbance suffering in output. Finally, some simulations are presented to validate the theoretical results.

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38

Ding, Gang, Jin Liu, and Lian Kun Sun. "Controller Design and Analysis of Networked Control Systems with Time Varying Uncertainty." Advanced Materials Research 422 (December 2011): 722–25. http://dx.doi.org/10.4028/www.scientific.net/amr.422.722.

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Анотація:

A class of networked control systems (NCSs) with time varying uncertainty in the plant was investigated. A new kind of stochastic communication logic based on the current value of the estimation error was proposed. Some new criteria for the asymptotical stabilization of such systems have been established. The asymptotic stability condition of the systems was established by Lyapunov theory. A numerical example was demonstrated the efficiency of the obtained result.

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39

Wang, Hanmei, and Jun Zhao. "Passivity‐based asymptotic stabilization for switched nonlinear systems using the sampled integral stabilization technique." International Journal of Robust and Nonlinear Control 29, no. 11 (May 2, 2019): 3570–86. http://dx.doi.org/10.1002/rnc.4570.

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40

Rajchakit, Grienggrai. "Switching Design for the Asymptotic Stability and Stabilization of Nonlinear Uncertain Stochastic Discrete-time Systems." International Journal of Nonlinear Sciences and Numerical Simulation 14, no. 1 (February 21, 2013): 33–44. http://dx.doi.org/10.1515/ijnsns-2011-0176.

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Abstract This paper is concerned with asymptotic stability and stabilization of nonlinear uncertain stochastic switched discrete time-delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the asymptotic stability and stabilization for the nonlinear uncertain stochastic discrete time-delay system is designed via linear matrix inequalities. Numerical examples are included to illustrate the effectiveness of the results.

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41

Shen, Chunyu, and Yaqi Tian. "Global asymptotic stabilization of the Hunter-Saxton control system." European Journal of Control 59 (May 2021): 129–36. http://dx.doi.org/10.1016/j.ejcon.2021.03.004.

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42

Imsland, Lars, Rolf Findeisen, Frank Allgöwer, and Bjarne A. Foss. "Output Feedback Stabilization with Nonlinear Predictive Control: Asymptotic properties." Modeling, Identification and Control: A Norwegian Research Bulletin 24, no. 3 (2003): 169–79. http://dx.doi.org/10.4173/mic.2003.3.3.

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43

Poulain, François, and Laurent Praly. "Robust asymptotic stabilization of nonlinear systems by state feedback." IFAC Proceedings Volumes 43, no. 14 (September 2010): 653–58. http://dx.doi.org/10.3182/20100901-3-it-2016.00268.

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44

TSUZUKI, Takayuki, and Yuh YAMASHITA. "Global Asymptotic Stabilization by Using Control Lyapunov-Morse Functions." Transactions of the Society of Instrument and Control Engineers 42, no. 6 (2006): 643–50. http://dx.doi.org/10.9746/sicetr1965.42.643.

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45

Chaturvedi, N. A., N. H. McClamroch, and D. S. Bernstein. "Asymptotic Smooth Stabilization of the Inverted 3-D Pendulum." IEEE Transactions on Automatic Control 54, no. 6 (June 2009): 1204–15. http://dx.doi.org/10.1109/tac.2009.2019792.

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46

Mazenc, F., K. Pettersen, and H. Nijmeijer. "Global uniform asymptotic stabilization of an underactuated surface vessel." IEEE Transactions on Automatic Control 47, no. 10 (October 2002): 1759–62. http://dx.doi.org/10.1109/tac.2002.803554.

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47

Tsuzuki, Takayuki, Yuh Yamashita, and Ryuji Enomoto. "GLOBAL ASYMPTOTIC STABILIZATION BY USING THE CONTROL LYAPUNOV FUNCTION." IFAC Proceedings Volumes 38, no. 1 (2005): 640–45. http://dx.doi.org/10.3182/20050703-6-cz-1902.00762.

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48

Adamson, S., D. Kharlampidi, and A. Dementiev. "Stabilization of resonance states by an asymptotic Coulomb potential." Journal of Chemical Physics 128, no. 2 (January 14, 2008): 024101. http://dx.doi.org/10.1063/1.2821102.

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49

Umoh, Edwin A. "Asymptotic Stabilization of a Morphous One- Parameter Chaotic System." Journal of Automation and Control Engineering 2, no. 1 (2014): 1–7. http://dx.doi.org/10.12720/joace.2.1.1-7.

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50

JIA, YINGMIN, WEIBING GAO, and MIAN CHENG. "Robust strict positive real stabilization and asymptotic hyperstability robustness." International Journal of Control 59, no. 5 (May 1994): 1143–57. http://dx.doi.org/10.1080/00207179408923124.

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