Common Lyapunov Functions and Gradient Algorithms

IEEE Transactions on Automatic Control ◽

10.1109/tac.2004.829632 ◽

2004 ◽

Vol 49 (6) ◽

pp. 990-994 ◽

Author(s):

D. Liberzon ◽

R. Tempo

Keyword(s):

Lyapunov Functions ◽

Gradient Algorithms ◽

Common Lyapunov Functions

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Gradient algorithms for finding common Lyapunov functions

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) ◽

10.1109/cdc.2003.1272341 ◽

2004 ◽

Author(s):

D. Liberzon ◽

R. Tempo

Keyword(s):

Lyapunov Functions ◽

Gradient Algorithms ◽

Common Lyapunov Functions

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Controller design for switched systems with nonlinear sub-systems using common Lyapunov functions

Nonlinear Dynamics ◽

10.1007/s11071-021-07012-y ◽

2022 ◽

Author(s):

Zhi Fan ◽

Yongchun Fang ◽

Yinan Wu ◽

Cunhuan Liu

Keyword(s):

Switched Systems ◽

Lyapunov Functions ◽

Controller Design ◽

Common Lyapunov Functions

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On the Existence and Construction of Common Lyapunov Functions for Switched Discrete Systems

Journal of Applied and Industrial Mathematics ◽

10.1134/s1990478918040075 ◽

2018 ◽

Vol 12 (4) ◽

pp. 668-677

Author(s):

A. A. Kosov ◽

M. V. Kozlov

Keyword(s):

Lyapunov Functions ◽

Discrete Systems ◽

Common Lyapunov Functions

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Lin-Sontag and common Lyapunov functions for stabilising control of a switched nonlinear systems

International Journal of Industrial and Systems Engineering ◽

10.1504/ijise.2018.095529 ◽

2018 ◽

Vol 30 (3) ◽

pp. 316

Author(s):

Abdessamad Abdelhedi ◽

Wided Saadi ◽

Driss Boutat ◽

Lassaad Sbita

Keyword(s):

Nonlinear Systems ◽

Lyapunov Functions ◽

Switched Nonlinear Systems ◽

Common Lyapunov Functions

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On the stability and existence of common Lyapunov functions for stable linear switching systems

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171) ◽

10.1109/cdc.1998.761788 ◽

2002 ◽

Author(s):

R.N. Shorten ◽

K.S. Narendra

Keyword(s):

Lyapunov Functions ◽

Switching Systems ◽

Linear Switching Systems ◽

The Stability ◽

Common Lyapunov Functions ◽

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Lin-Sontag and common Lyapunov functions for stabilising control of a switched nonlinear systems

International Journal of Industrial and Systems Engineering ◽

10.1504/ijise.2018.10016494 ◽

2018 ◽

Vol 30 (3) ◽

pp. 316

Author(s):

Lassaad Sbita ◽

Driss Boutat ◽

Wided Saadi ◽

Abdessamad Abdelhedi

Keyword(s):

Nonlinear Systems ◽

Lyapunov Functions ◽

Switched Nonlinear Systems ◽

Common Lyapunov Functions

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Bounded feedback controls for linear dynamic systems by using common Lyapunov functions

Doklady Mathematics ◽

10.1134/s106456241005039x ◽

2010 ◽

Vol 82 (2) ◽

pp. 831-834 ◽

Author(s):

I. M. Anan’evskii ◽

N. V. Anokhin ◽

A. I. Ovseevich

Keyword(s):

Dynamic Systems ◽

Lyapunov Functions ◽

Feedback Controls ◽

Linear Dynamic Systems ◽

Linear Dynamic ◽

Bounded Feedback ◽

Common Lyapunov Functions

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Indirect Adaptive Control of Piecewise Affine Systems without Common Lyapunov Functions

IEEE Control Systems Letters ◽

10.1109/lcsys.2021.3133800 ◽

2021 ◽

pp. 1-1

Author(s):

Tong Liu ◽

Fangzhou Liu ◽

Martin Buss

Keyword(s):

Adaptive Control ◽

Lyapunov Functions ◽

Piecewise Affine Systems ◽

Affine Systems ◽

Piecewise Affine ◽

Indirect Adaptive Control ◽

Common Lyapunov Functions

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Piecewise quadratic common Lyapunov functions and the absolute stability of single variable Lur'e systems

Irish Signals and Systems Conference 2004 ◽

10.1049/cp:20040567 ◽

2004 ◽

Author(s):

R. Duignan

Keyword(s):

Lyapunov Functions ◽

Absolute Stability ◽

Single Variable ◽

Lur’E Systems ◽

The Absolute ◽

Common Lyapunov Functions

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Common Lyapunov Functions for Stable Second Order Systems

2009 International Workshop on Intelligent Systems and Applications ◽

10.1109/iwisa.2009.5072785 ◽

2009 ◽

Author(s):

Zheng Chen ◽

Yan Gao

Keyword(s):

Lyapunov Functions ◽

Second Order ◽

Second Order Systems ◽

Common Lyapunov Functions

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