Chen, Yanfeng Robust \(H_\infty\) control for time-varying delay systems with nonlinear perturbation and polytopic uncertainty. (Chinese. English summary) Zbl 1313.93051 J. Beijing Univ. Technol. 40, No. 2, 206-213 (2014). Summary: Robust \(H_\infty\) control problem of nonlinear systems with time-varying delay and polytopic uncertainty is discussed. The nonlinear condition satisfying a type of especial linear bound is assumed. By using the linear matrix inequality technique, a sufficient condition for nonlinear time-delay systems, which is asymptotically stable and satisfies \(H_\infty\) performance, is given, and the explicit design method of the robust \(H_\infty\) controller is obtained. Finally, a numerical example is supplied to clarify the feasibility and effectiveness of the proposed results. MSC: 93B36 \(H^\infty\)-control 93C10 Nonlinear systems in control theory 93B35 Sensitivity (robustness) 93D20 Asymptotic stability in control theory Keywords:nonlinear time-varying delay systems; robust \(H_\infty\) control; linear matrix inequality; polytopic uncertainty PDFBibTeX XMLCite \textit{Y. Chen}, J. Beijing Univ. Technol. 40, No. 2, 206--213 (2014; Zbl 1313.93051)