Robust delay-derivative-dependent state-feedback control for a class of continuous-time system with time-varying delays

This work is concerned with the issue of delay-derivative-dependent state-feedback control for a class of continuous-time system with time-varying delays. By introducing an improved reciprocally convex combination method, utilizing the Wirtinger-based integral inequality and an augment Lyapunov-Krasovskii functional with quadruple integral terms, some novel stability criteria are presented and H∞ state feedback control law is given. At last, two numerical examples are also presented including liquid monopropellant rocket motor system to illustrate the effectiveness and the advantage of obtained results.