Delay-dependent robust stabilization for a class of neutral systems with nonlinear perturbations

Abstract

This note deals with the problem of stabilization/stability for neutral systems with nonlinear perturbations. A new stabilization/stability scheme is presented. Using improved Lyapunov functionals, less conservative stabilization/stability conditions are derived for such systems based on linear matrix inequalities (LMI). Numerical examples are provided to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature.

Exponential Stabilization of a Class of Time-Varying Delay Systems with Nonlinear Perturbations

“…Combining the descriptor model transformation and the integral inequality method, Han [3] investigated the robust stability of linear systems with time-varying delay and nonlinear perturbations and obtained several improved stability conditions. On the basis of free weighting matrices technique, robust stabilization criteria for neutral systems with nonlinear perturbations were reported in [9]. Wang et al [6] introduced a new parameter in the Lyapunov functional for the timevarying delay systems with nonlinear perturbations and obtained less conservative results, whereas the range of the time delays considered in the paper was assumed from zero to an upper bound.…”