Jensen inequality approach to stability analysis of discrete-time systems with time-varying delay

Abstract

This paper studies the problem of stability analysis for discrete-time delay systems. By using new Lyapunov functional and the discrete Jensen inequality, new stability criteria are presented in terms of linear matrix inequalities (LMIs) and proved to be less conservative than the existing ones. Compared with the existing results, the computational complexity of the obtained stability criteria is reduced greatly since less decision variables are involved. Numerical examples are given to illustrate the effectiveness and advantages of the proposed method.