An extended Lyapunov stability analysis for hybrid dynamic systems

Liguo Zhang; Yangzhou Chen; Pingyuan Cui

doi:10.1109/ICCA.2007.4376754

An extended Lyapunov stability analysis for hybrid dynamic systems

Liguo Zhang^*, Yangzhou Chen, Pingyuan Cui

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this note, we consider the asymptotical stability of hybrid dynamical systems (HDSs) in the sense of Lyapunov. Some necessary and sufficient conditions are derived which require only the Lyapunov function to be non-increasing along the sequences of time-interval of the active subsystems.

Original language	English
Title of host publication	2007 IEEE International Conference on Control and Automation, ICCA
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2214-2216
Number of pages	3
ISBN (Print)	1424408180, 9781424408184
DOIs	https://doi.org/10.1109/ICCA.2007.4376754
Publication status	Published - 2007
Externally published	Yes
Event	2007 IEEE International Conference on Control and Automation, ICCA - Guangzhou, China Duration: 30 May 2007 → 1 Jun 2007

Publication series

Name	2007 IEEE International Conference on Control and Automation, ICCA

Conference

Conference	2007 IEEE International Conference on Control and Automation, ICCA
Country/Territory	China
City	Guangzhou
Period	30/05/07 → 1/06/07

Keywords

Hybrid dynamical systems
Lyapunov
Stability

Access to Document

10.1109/ICCA.2007.4376754

Cite this

Zhang, L., Chen, Y., & Cui, P. (2007). An extended Lyapunov stability analysis for hybrid dynamic systems. In 2007 IEEE International Conference on Control and Automation, ICCA (pp. 2214-2216). Article 4376754 (2007 IEEE International Conference on Control and Automation, ICCA). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCA.2007.4376754

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title = "An extended Lyapunov stability analysis for hybrid dynamic systems",

abstract = "In this note, we consider the asymptotical stability of hybrid dynamical systems (HDSs) in the sense of Lyapunov. Some necessary and sufficient conditions are derived which require only the Lyapunov function to be non-increasing along the sequences of time-interval of the active subsystems.",

keywords = "Hybrid dynamical systems, Lyapunov, Stability",

author = "Liguo Zhang and Yangzhou Chen and Pingyuan Cui",

year = "2007",

doi = "10.1109/ICCA.2007.4376754",

language = "English",

isbn = "1424408180",

series = "2007 IEEE International Conference on Control and Automation, ICCA",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2214--2216",

booktitle = "2007 IEEE International Conference on Control and Automation, ICCA",

address = "United States",

note = "2007 IEEE International Conference on Control and Automation, ICCA ; Conference date: 30-05-2007 Through 01-06-2007",

}

Zhang, L, Chen, Y & Cui, P 2007, An extended Lyapunov stability analysis for hybrid dynamic systems. in 2007 IEEE International Conference on Control and Automation, ICCA., 4376754, 2007 IEEE International Conference on Control and Automation, ICCA, Institute of Electrical and Electronics Engineers Inc., pp. 2214-2216, 2007 IEEE International Conference on Control and Automation, ICCA, Guangzhou, China, 30/05/07. https://doi.org/10.1109/ICCA.2007.4376754

An extended Lyapunov stability analysis for hybrid dynamic systems. / Zhang, Liguo; Chen, Yangzhou; Cui, Pingyuan.
2007 IEEE International Conference on Control and Automation, ICCA. Institute of Electrical and Electronics Engineers Inc., 2007. p. 2214-2216 4376754 (2007 IEEE International Conference on Control and Automation, ICCA).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - An extended Lyapunov stability analysis for hybrid dynamic systems

AU - Zhang, Liguo

AU - Chen, Yangzhou

AU - Cui, Pingyuan

PY - 2007

Y1 - 2007

N2 - In this note, we consider the asymptotical stability of hybrid dynamical systems (HDSs) in the sense of Lyapunov. Some necessary and sufficient conditions are derived which require only the Lyapunov function to be non-increasing along the sequences of time-interval of the active subsystems.

AB - In this note, we consider the asymptotical stability of hybrid dynamical systems (HDSs) in the sense of Lyapunov. Some necessary and sufficient conditions are derived which require only the Lyapunov function to be non-increasing along the sequences of time-interval of the active subsystems.

KW - Hybrid dynamical systems

KW - Lyapunov

KW - Stability

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U2 - 10.1109/ICCA.2007.4376754

DO - 10.1109/ICCA.2007.4376754

M3 - Conference contribution

AN - SCOPUS:44349119740

SN - 1424408180

SN - 9781424408184

T3 - 2007 IEEE International Conference on Control and Automation, ICCA

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BT - 2007 IEEE International Conference on Control and Automation, ICCA

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2007 IEEE International Conference on Control and Automation, ICCA

Y2 - 30 May 2007 through 1 June 2007

ER -

An extended Lyapunov stability analysis for hybrid dynamic systems

Abstract

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Keywords

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