New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems

A new (descriptor) model transformation and a corresponding Lyapunov-Krasov skii functional are introduced for stability analysis of systems with delay s. Delay-dependent/delay-independent stability criteria are derived for lin ear retarded and neutral type systems with discrete and distributed delays. Conditions are given in terms of linear matrix inequalities and for the fi rst time refer to neutral systems with discrete and distributed delays. The proposed criteria are less conservative than other existing criteria (for retarded type systems and neutral systems with discrete delays) since they are based on an equivalent model transformation and since they require boun ds for fewer terms. Examples are given that illustrate advantages of our ap proach. (C) 2001 Elsevier Science B.V. All rights reserved.