Improved Results on Robust Stability for Systems with Interval Time-Varying Delays and Nonlinear Perturbations

Abstract EN

This paper investigated delay-dependent robust stability criteria for systems with interval time-varying delays and nonlinear perturbations.

A delay-partitioning approach is used in this paper, the delay-interval is partitioned into multiple equidistant subintervals, a new Lyapunov-Krasovskii (L-K) functional contains some triple-integral terms, and augment terms are introduced on these intervals.

Then, by using integral inequalities method together with free-weighting matrix approach, a new less conservative delay-dependent stability criterion is formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by optimization algorithms.

Numerical examples are given to show the effectiveness and the benefits of the proposed method.