Stability of time-delay singularly perturbed systems. (English) Zbl 0822.93062

Shao, Z.; Rowland, J. R.

IEE Proc., Control Theory Appl. 142, No. 2, 111-113 (1995).

Summary: The stability of a linear time-invariant singularly perturbed system with time delay in slow states is discussed. A delay-independent sufficient condition for the stability bound is given, such that the stability of the full-order model can be inferred from the analysis of the corresponding reduced-order model in separate time scales. The perturbation on time delay is also considered. The significance of the results obtained is illustrated by several examples.

MSC:

93D20	Asymptotic stability in control theory
34K35	Control problems for functional-differential equations
34E15	Singular perturbations, general theory for ordinary differential equations
93C70	Time-scale analysis and singular perturbations in control/observation systems

Keywords:

singularly perturbed system; time delay; sufficient condition; stability bound