Integral input-to-state stability for hybrid delayed systems with unstable continuous dynamics

This paper considers integral input-to-state stability (iISS) for a class of hybrid time-delay systems. Discrete dynamics includes impulsive and switching signals, and continuous dynamics is not necessarily stable. Based on multiple Lyapunov–Krasovskii functionals, a dwell-time bound is explicitly g...

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Bibliographic Details
Published in:Automatica (Oxford) 2012-09, Vol.48 (9), p.2359-2364
Main Authors: Sun, Xi-Ming, Wang, Wei
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Computer systems and distributed systems. User interface
Control system analysis
Control systems
Control theory. Systems
Criteria
Dynamical systems
Dynamics
Exact sciences and technology
Functionals
Hybrid systems
Integral ISS
Integrals
ISS
Software
Stability
Switching
Time delay
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Summary:This paper considers integral input-to-state stability (iISS) for a class of hybrid time-delay systems. Discrete dynamics includes impulsive and switching signals, and continuous dynamics is not necessarily stable. Based on multiple Lyapunov–Krasovskii functionals, a dwell-time bound is explicitly given to guarantee iISS of the hybrid delayed system. Compared with existing results on related problems, the obtained stability criteria can be applied to a larger class of hybrid delayed systems. Moreover, the obtained dwell-time bound is less conservative than existing ones. At last, an example related to networked control systems (NCSs) is provided to illustrate the effectiveness of the proposed result.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2012.06.056