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Finite-time boundedness analysis and H-infinity control for a class of impulsive stochastic systems. (Chinese. English summary) Zbl 1424.93069

Summary: 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.

MSC:

93B36 \(H^\infty\)-control
93E03 Stochastic systems in control theory (general)
93B52 Feedback control
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