Finite-time boundedness analysis and H-infinity control for a class of impulsive stochastic systems
YAO Feng-qi
ZHU Xing-xing
Abstract：This paper is concerned with the problem of the finite-time boundedness and H-infinity control for a class of linear impulsive stochastic systems.First,employing Lyapunov functions and the average impulsive interval technique,a theorem on the finite-time boundedness in the sense of mean square is established.Then,based on the theory of H-infinity control,a criterion guaranteeing both the finite-time boundedness and a certain H-infinity performance index is derived.Also,for the finite-time H-infinity control problem,some sufficient conditions for the existence of a state feedback controller are proposed.Finally,a numerical example is given to verify the effectiveness of the theoretical results.
Keywords：finite-time boundednessH-infinity controlimpulsive stochastic systemsaverage impulsive interval
Publication Date：2018-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：8( 291-298 )