Stability and stabilization analysis of nonlinear time-delay systems with randomly occurring controller gain fluctuation

Abstract

The problem of stability and stabilization analysis for a class of delayed nonlinear systems is studied in this manuscript. The nonlinear function is forever presumed to comply with the Lipschitz condition in the real domain. Furthermore, non-fragile controller algorithm is designed with randomly occurring controller gain fluctuation (ROCGF). By handling the Lyapunov function approach and the integral inequality technique, LMI-based sufficient criteria are determined. Three numerical packages were supplied to demonstrate the efficiency of the derived results.