Luse, D. William Multivariable singularly perturbed feedback systems with time delay. (English) Zbl 0628.93053 IEEE Trans. Autom. Control 32, 990-994 (1987). The paper deals with a singularly perturbed linear control system with time delays appearing in the feedback loop. The frequency domain technique is used to derive stability conditions for the closed-loop system. Two cases are considered: when the feedback depends on the small parameter that represents the singular perturbation and on the small time delay, and when the feedback is with a fixed large time delay. A Nyquist- type criterion is obtained in terms of the properties of the slow and the fast subsystems. Reviewer: A.Dontchev Cited in 6 Documents MSC: 93D15 Stabilization of systems by feedback 34E15 Singular perturbations for ordinary differential equations 93C35 Multivariable systems, multidimensional control systems 34K35 Control problems for functional-differential equations 93C05 Linear systems in control theory Keywords:singularly perturbed linear control system with time delays; frequency domain; stability conditions; Nyquist-type criterion PDFBibTeX XMLCite \textit{D. W. Luse}, IEEE Trans. Autom. Control 32, 990--994 (1987; Zbl 0628.93053) Full Text: DOI