Improved Criterion for Stability Analysis of Discrete-Time Systems Subject to Saturation Nonlinearities and Variable Time-Lags

Abstract

An advanced criterion for stability of a category of discontinuous-time systems comprising of saturation nonlinear effects and time-lags is presented, by evaluating the forward difference of the Lyapunov-Krasovskii functional. By exerting the concept of discrete Wirtinger-based integral inequality and Reciprocal Convexity approach, a revised linear matrix inequality (LMI) based criterion is proposed. Comparison of the presented criterion is done with criteria developed earlier. A demonstrative example is furnished to signify the efficiency of the proposed theorem.