Yao, Fengqi; Zhu, Xingxing Finite-time boundedness analysis and H-infinity control for a class of impulsive stochastic systems. (Chinese. English summary) Zbl 1424.93069 Control Theory Appl. 35, No. 3, 291-298 (2018). 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 Keywords:finite-time boundedness; H-infinity control; impulsive stochastic systems; average impulsive interval PDFBibTeX XMLCite \textit{F. Yao} and \textit{X. Zhu}, Control Theory Appl. 35, No. 3, 291--298 (2018; Zbl 1424.93069) Full Text: DOI