Uniform Stability of Switched Linear Systems: Extensions of LaSalle's Invariance Principle

IEEE Transactions on Automatic Control ◽

10.1109/tac.2004.825641 ◽

2004 ◽

Vol 49 (4) ◽

pp. 470-482 ◽

Author(s):

J. Hespanha

Keyword(s):

Linear Systems ◽

Invariance Principle ◽

Uniform Stability ◽

Switched Linear Systems ◽

Lasalle’S Invariance Principle ◽

Lasalle's Invariance Principle

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An extension of LaSalle’s Invariance Principle for a class of switched linear systems

Systems & Control Letters ◽

10.1016/j.sysconle.2009.08.008 ◽

2009 ◽

Vol 58 (10-11) ◽

pp. 754-758 ◽

Author(s):

Jinhuan Wang ◽

Daizhan Cheng ◽

Xiaoming Hu

Keyword(s):

Linear Systems ◽

Invariance Principle ◽

Switched Linear Systems ◽

Lasalle’S Invariance Principle ◽

Lasalle's Invariance Principle

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Extending LaSalle's invariance principle to switched linear systems

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) ◽

10.1109/cdc.2001.980638 ◽

2003 ◽

Author(s):

J.P. Hespanha

Keyword(s):

Linear Systems ◽

Invariance Principle ◽

Switched Linear Systems ◽

Lasalle’S Invariance Principle ◽

Lasalle's Invariance Principle

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Stability and stabilisation of planar switched linear systems via LaSalle's invariance principle

International Journal of Control ◽

10.1080/00207170701793814 ◽

2008 ◽

Vol 81 (10) ◽

pp. 1590-1599 ◽

Author(s):

Yanyan Yuan ◽

Daizhan Cheng

Keyword(s):

Linear Systems ◽

Invariance Principle ◽

Switched Linear Systems ◽

Lasalle’S Invariance Principle ◽

Lasalle's Invariance Principle

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Stabilization of Switched Linear Systems via LaSalle's Invariance Principle

2007 IEEE International Conference on Control and Automation ◽

10.1109/icca.2007.4376308 ◽

2007 ◽

Author(s):

Daizhan Cheng ◽

Jinhuan Wang ◽

Xiaoming Hu

Keyword(s):

Linear Systems ◽

Invariance Principle ◽

Switched Linear Systems ◽

Lasalle’S Invariance Principle ◽

Lasalle's Invariance Principle

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A Formal Proof in Coq of LaSalle’s Invariance Principle

Interactive Theorem Proving - Lecture Notes in Computer Science ◽

10.1007/978-3-319-66107-0_10 ◽

2017 ◽

pp. 148-163 ◽

Author(s):

Cyril Cohen ◽

Damien Rouhling

Keyword(s):

Invariance Principle ◽

Formal Proof ◽

Lasalle’S Invariance Principle ◽

Lasalle's Invariance Principle

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Extended LaSalle's Invariance Principle for Full-Range Cellular Neural Networks

EURASIP Journal on Advances in Signal Processing ◽

10.1155/2009/730968 ◽

2009 ◽

Vol 2009 (1) ◽

Author(s):

Mauro Di Marco ◽

Mauro Forti ◽

Massimo Grazzini ◽

Luca Pancioni

Keyword(s):

Neural Networks ◽

Invariance Principle ◽

Cellular Neural Networks ◽

Lasalle’S Invariance Principle ◽

Lasalle's Invariance Principle

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Uniform stability of switched linear systems with persistent dwell-time and bounded additive disturbance

2015 American Control Conference (ACC) ◽

10.1109/acc.2015.7170993 ◽

2015 ◽

Author(s):

Lixian Zhang ◽

Songlin Zhuang ◽

Peng Shi ◽

Yanzheng Zhu

Keyword(s):

Linear Systems ◽

Uniform Stability ◽

Switched Linear Systems

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An Extension of LaSalle's Invariance Principle and Its Application to Multi-Agent Consensus

IEEE Transactions on Automatic Control ◽

10.1109/tac.2008.928332 ◽

2008 ◽

Vol 53 (7) ◽

pp. 1765-1770 ◽

Author(s):

Daizhan Cheng ◽

Jinhuan Wang ◽

Xiaoming Hu

Keyword(s):

Invariance Principle ◽

Lasalle’S Invariance Principle ◽

Multi Agent ◽

Lasalle's Invariance Principle

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Stability of switched nonlinear systems via extensions of LaSalle’s invariance principle

Science in China Series F Information Sciences ◽

10.1007/s11432-009-0006-z ◽

2009 ◽

Vol 52 (1) ◽

pp. 84-90 ◽

Author(s):

JinHuan Wang ◽

DaiZhan Cheng

Keyword(s):

Nonlinear Systems ◽

Invariance Principle ◽

Switched Nonlinear Systems ◽

Lasalle’S Invariance Principle ◽

Lasalle's Invariance Principle

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Extending LaSalle's invariance principle to impulsive switched systems with an application to hybrid epidemic dynamics

2010 Chinese Control and Decision Conference ◽

10.1109/ccdc.2010.5499107 ◽

2010 ◽

Author(s):

Jun Liu ◽

Xinzhi Liu ◽

Wei-Chau Xie

Keyword(s):

Invariance Principle ◽

Switched Systems ◽

Lasalle’S Invariance Principle ◽

Epidemic Dynamics ◽

Impulsive Switched Systems ◽

Lasalle's Invariance Principle

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