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3 International Journal of Applied Mathematics and Computer Science

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On Delay-Dependent Stability for Neutral Delay-Differential Systems

Han Q. L.

International Journal of Applied Mathematics and Computer Science

2001

Vol. 11, no. 4

965-976

This paper deals with the stability problem for a class of linear neutral delay-differential systems. The time delay is assumed constant and known. Delay-dependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing results.

Criteria for Stability of Uncertain Linear Systems With Time-Varying Delay

Han Q. L., Gu K.

International Journal of Applied Mathematics and Computer Science

2000

Vol. 10, no. 2

205-225

This paper focuses on the stability problem for uncertain linear systems with time-varying delays. Based on a discretized Lyapunov functional approach, delay-dependent criteria that are formulated in terms of linear matrix inequalities are proposed to guarantee asymptotic stability for such systems. Numerical examples are also included to show the effectiveness of the method.

Robust Stabilization for Uncertain Time-Varying Delay Constrained Systems With Delay-Dependence

Han Q. L., Mehdi D.

International Journal of Applied Mathematics and Computer Science

1999

Vol. 9, no. 2

293-311

This paper is concerned with the problem of robust stabilization of linear time-varying delay systems containing saturating actuators in the presence of nonlinear parametric perturbations. Based on Razumikhin's approach to the stability of functional differential equations, we determine upper bounds on the time-varying delay such that the uncertain system under consideration is robustly globally or locally asymptotically stabilizable via memoryless state feedback control laws. The obtained bounds are given in terms of solutions to Lyapunov equations. Two numerical examples are included to illustrate the results.