DELAY-DECOMPOSITION APPROACH FOR THE ROBUST STABILITY OF UNCERTAIN NEUTRAL SYSTEMS WITH DISTRIBUTED DELAYS

Abstract

This paper deals with the problem of robust stability of uncertain neutral systems with distributed delays.A new delay-dependent stability condition is derived by using the delay-decomposition approach.Firstly,by non-uniformly dividing the delay interval into N segments,a new appropriate Lyapunov-Krasovskii(L-K) functional for each segment is constructed.Then,with the integral inequality approach,a new delay-dependent stability condition is formulated in terms of linear matrix inequalities.The proposed approach involves neither model transformation nor freeweighting matrix,so the complexity is reduced both in theory and in computation.Numerical examples show that the proposed method enlarge the more conservative upper bound for the delay-range.