Xu, Honglei; Teo, Kok Lay \(H_{\infty}\) optimal stabilization of a class of uncertain impulsive systems: An LMI approach. (English) Zbl 1158.93343 J. Ind. Manag. Optim. 5, No. 1, 153-159 (2009). Summary: This paper studies \(H_{\infty}\) optimal control problems for a class of impulsive dynamical systems with norm-bounded time-varying uncertainty. By using a linear matrix inequality approach, some sufficient conditions are established to ensure both internally asymptotical stability and \(H_{\infty}\) optimal performance of the impulsive closed-loop system. Moreover, based on the stability criteria, a linear time-invariant stabilizing control law is designed. Finally, a numerical example is presented to illustrate the effectiveness of our results. Cited in 13 Documents MSC: 93B52 Feedback control 93B36 \(H^\infty\)-control 37N40 Dynamical systems in optimization and economics Keywords:\(H_{\infty}\) control; robust optimal control; impulsive systems PDFBibTeX XMLCite \textit{H. Xu} and \textit{K. L. Teo}, J. Ind. Manag. Optim. 5, No. 1, 153--159 (2009; Zbl 1158.93343) Full Text: DOI