Robust H_∞ control for uncertain multi-delay systems with all disturbances

This paper concerns with multi-delay uncertain systems with all disturbances. Robust stabilization and robust H_∞ control problems are considered. LMI is introduced into robust H_∞ control problem in the general systems. Furthermore, a nonlinear disturbance problem is considered and the essential principle of this kind method is analyzed. At last, by using an improved Razumikhin lemma, a limitation of bound of delay functions' derivatives in past papers is removed, the corresponding results about robust stabilization and robust H_∞ control problem are obtained, too.