On hybrid impulsive and switching systems and application to nonlinear control

On hybrid impulsive and switching systems and application to nonlinear control

In this note, a new class of hybrid impulsive and switching models is introduced and their asymptotic stability properties are investigated. Using switched Lyapunov functions, some new general criteria for exponential stability and asymptotic stability with arbitrary and conditioned impulsive switch...

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Veröffentlicht in:IEEE transactions on automatic control 2005-07, Vol.50 (7), p.1058-1062
Hauptverfasser: Zhi-Hong Guan, Hill, D.J., Xuemin Shen
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Asymptotic stability
Automatic control
Chaos
Chaos control
Computer science
control theory
systems
Control system analysis
Control system synthesis
Control systems
Control theory. Systems
Exact sciences and technology
exponential stability
hybrid systems
impulsive and switching systems
Lyapunov method
Nonlinear control systems
Quantum entanglement
Quantum mechanics
Stability analysis
switched Lyapunov function
Switching systems
System theory
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Beschreibung
Zusammenfassung:In this note, a new class of hybrid impulsive and switching models is introduced and their asymptotic stability properties are investigated. Using switched Lyapunov functions, some new general criteria for exponential stability and asymptotic stability with arbitrary and conditioned impulsive switching are established. In addition, a new hybrid impulsive and switching control strategy for nonlinear systems is developed. A typical example, the unified chaotic system, is given to illustrate the theoretical results.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2005.851462