New approach to delay-dependent stability of two-dimensional discrete-time systems with interval time-varying delays

摘要

A Lyapunov-based method: new finite-sum inequality approach is proposed to reduce the conservatism and the complexity of the stability result for one-dimensional (1D) time-delay systems. In this study, the authors further concern the analysis of delay-dependent stability for two-dimensional (2D) discrete-time systems with interval time-varying delays. By applying new finite-sum inequalities and the reciprocally convex combination inequality, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities (LMIs). Less decision variables are involved in the stability condition and our approach leads to better results than the existing methods. Finally, the advantage of employing the proposed approach is illustrate via a numerical example.