Stabilization of stochastic singular nonlinear hybrid systems

Stabilization of stochastic singular nonlinear hybrid systems

This paper deals with the control of the class of singular nonlinear stochastic hybrid systems. Under some appropriate assumptions, results on stochastic stability and stochastic stabilization are developed. Two state feedback controllers (linear and nonlinear) that stochastically stabilize the clas...

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Veröffentlicht in:Nonlinear analysis 2006-01, Vol.64 (2), p.217-228
1. Verfasser: Boukas, E.K.
Format: Artikel
Sprache:eng
Schlagworte:
Hybrid systems
Linear matrix inequalities
Nonlinear systems
Singular systems
Stochastic stability
Stochastic stabilization
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Beschreibung
Zusammenfassung:This paper deals with the control of the class of singular nonlinear stochastic hybrid systems. Under some appropriate assumptions, results on stochastic stability and stochastic stabilization are developed. Two state feedback controllers (linear and nonlinear) that stochastically stabilize the class of systems we are considering are designed. LMI sufficient conditions are developed to compute the gains of these controllers.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2005.05.066