Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay

Abstract EN

This paper is concerned with robust stability of uncertain linear systems with interval time-varying delay.

The time-varying delay is assumed to belong to an interval, which means that the derivative of the time-varying delay has an upper bound or a restriction.

On other occasions, if we do not take restriction on the derivative of the time-varying delay into consideration, it allows the delay to be a fast time-varying function.

The uncertainty under consideration includes a polytopic-type uncertainty and a linear fractional norm-bounded uncertainty.

In order to obtain much less conservative results, a new Lyapunov-Krasovskii functional, which makes use of the information of both the lower and upper bounds of the interval time-varying delay, is proposed to derive some new stability criteria.

Numerical examples are given to demonstrate the effectiveness of the proposed stability criteria.