Stability of impulsive systems driven by renewal processes

Authors:
Duarte Antunes;João P. Hespanha;Carlos Silvestre
Affiliations:
Dep. of Electrical Eng. and Computer Science, Instituto Superior Técnico, ISR, Lisboa, Portugal;Dept. of Electrical and Computer Eng., University of California, Santa Barbara, CA;Dep. of Electrical Eng. and Computer Science, Instituto Superior Técnico, ISR, Lisboa, Portugal
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 2
Cited 1

Topics in matrix analysis

Topics in matrix analysis
Adventures in stochastic processes

Adventures in stochastic processes

Stability of networked control systems with asynchronous renewal links: An impulsive systems approach

Automatica (Journal of IFAC)

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Abstract

Necessary and sufficient conditions are provided for stochastic stability and mean exponential stability of impulsive systems with jumps triggered by a renewal process, that is, the intervals between jumps are independent and identically distributed. The conditions for stochastic stability can be efficiently tested in terms of the feasibility of a set of LMIs or in terms of an algebraic test. The relation between the different stability notions for this class of systems is also discussed. The results are illustrated through their application to the stability analysis of networked control systems. We present two benchmark examples for which one can guarantee stability for inter-sampling times roughly twice as large as in a previous paper.