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

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. (C) 2019 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.