Stabilization of singularly perturbed multiple-time-delay systems with a saturating actuator. (English) Zbl 1023.93051

Liu, Pin-Lin

Int. J. Syst. Sci. 32, No. 8, 1041-1045 (2001).

The following author’s abstract describes well the content of the paper: “This paper presents a discussion on the problem of stabilization for singularly perturbed multiple-time-delay saturating actuator systems with delays dependence. Instead of applying the Lyapunov functions, properties of the comparison theorem and matrix measure are employed to investigate the problem. Finally, the derived result can be used to estimate the delay time”.

Reviewer: Jordan M.Stoyanov (Newcastle upon Tyne)

MSC:

93D15	Stabilization of systems by feedback
93C70	Time-scale analysis and singular perturbations in control/observation systems
93C23	Control/observation systems governed by functional-differential equations

Keywords:

actuator saturation; singularly perturbed multiple-time-delay systems; stabilization; delays; comparison theorem; matrix measure