Stability Analysis for Autonomous Dynamical Switched Systems through Nonconventional Lyapunov Functions

Nosov V.; Meda-Campana J. A.; Gomez-Mancilla J. C.; Escobedo-Alva J. O.; Hernandez-Garcia R. G.

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Stability Analysis for Autonomous Dynamical Switched Systems through Nonconventional Lyapunov Functions

机译：基于非传统Lyapunov函数的自治动态切换系统的稳定性分析

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The stability of autonomous dynamical switched systems is analyzed by means of multiple Lyapunov functions. The stability theorems given in this paper have finite number of conditions to check. It is shown that linear functions can be used as Lyapunov functions. An example of an exponentially asymptotically stable switched system formed by four unstable systems is also given.

机译：自主动态切换系统的稳定性通过多个Lyapunov函数进行分析。本文给出的稳定性定理需要检查的条件数量有限。结果表明，线性函数可以用作李雅普诺夫函数。还给出了由四个不稳定系统组成的指数渐近稳定切换系统的示例。

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《Mathematical Problems in Engineering 》 |2015年第20期| 502475.1-502475.12| 共12页
作者
Nosov V.; Meda-Campana J. A.; Gomez-Mancilla J. C.; Escobedo-Alva J. O.; Hernandez-Garcia R. G.;
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Inst Politecn Nacl, Escuela Super Ingn Mecan & Elect, Secc Estudios Posgrad & Invest, Mexico City 07738, DF, Mexico;

Inst Politecn Nacl, Escuela Super Ingn Mecan & Elect, Secc Estudios Posgrad & Invest, Mexico City 07738, DF, Mexico;

Inst Politecn Nacl, Escuela Super Ingn Mecan & Elect, Secc Estudios Posgrad & Invest, Mexico City 07738, DF, Mexico;

Inst Politecn Nacl, Escuela Super Ingn Mecan & Elect, Secc Estudios Posgrad & Invest, Mexico City 07738, DF, Mexico;

Inst Politecn Nacl, Escuela Super Ingn Mecan & Elect, Secc Estudios Posgrad & Invest, Mexico City 07738, DF, Mexico;

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1. Stability Analysis for Autonomous Dynamical Switched Systems through Nonconventional Lyapunov Functions [J] . V.Nosov, J. A.Meda-Campa?a, J. C.Gomez-Mancilla, Mathematical Problems in Engineering: Theory, Methods and Applications . 2015 ,第2期

机译：基于非传统Lyapunov函数的自治动力切换系统的稳定性分析
2. Multiple switching-time-dependent discretized Lyapunov functions/functionals methods for stability analysis of switched time-delay stochastic systems [J] . Luo Shixian, Deng Feiqi, Chen Wu-Hua Journal of the Franklin Institute . 2018 ,第2期

机译：依赖于切换时间的离散Lyapunov函数/功能方法用于切换时滞随机系统的稳定性分析
3. Stability analysis of discrete-time switched systems: a switched homogeneous Lyapunov function method [J] . Liu Xingwen, Zhao Xudong International Journal of Control . 2016 ,第1a3期

机译：离散时间切换系统的稳定性分析：切换齐次Lyapunov函数方法
4. Robust stability analysis of discrete-time switched linear systems with stable and unstable subsystems via switching parameter-dependent Lyapunov functions [C] . Qunxian Zheng, Hongbin Zhang International Conference on Control, Automation and Robotics . 2016

机译：具有依赖于切换参数的Lyapunov函数的具有稳定和不稳定子系统的离散时间切换线性系统的鲁棒稳定性分析
5. Parameter-dependent Lyapunov functions and stability analysis of linear parameter-dependent dynamical systems. [D] . Zhang, Xiping. 2003

机译：依赖参数的Lyapunov函数和线性依赖参数的动力系统的稳定性分析。
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7. 1Stability Analysis and Control Synthesis for Switched Systems: A switched Lyapunov function approach [O] . Jamal Daafouz, Pierre Riedinger, Claude Iung 2014

机译：1切换系统的稳定性分析和控制综合：切换Lyapunov函数方法

Stability Analysis for Autonomous Dynamical Switched Systems through Nonconventional Lyapunov Functions

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