New Stability Analysis for Large-Scale Switched Systems with Time-Delay Disturbances Using an Augmented LKF Method

This paper deals with the problem of delay-dependent asymptotic stability for large-scale switched systems with time-varying neutral delay. By constructing an augmented Lyapunov-Krasovskii functional (LKF) method combined with slack matrices, introducing both singular model transformation technique and Finsler’s lemma, and using delay-dividing concept, a novel delay-dividing-dependent stability criterion is derived to guarantee the asymptotic stability of above systems. The obtained criterion is formulated in terms of matrix inequalities, which can be efficiently solved via standard numerical software. Two numerical examples are included to show that the proposed method is effective and can provide less conservative results. )) ( ( )) ( ( ) ( { ) ( ) ( 1 t d t x C t d t x A t x A t t x i k i i k i i k i r k k i − + − + =∑ = & & α