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Feedback stabilization of linear autonomous time lag systems. (English) Zbl 0601.93045

An original method to reduce the feedback stabilization of time-lag systems to the stabilization of a certain set of finite-dimensional control systems is given. The method is based on the use of a so-called characteristic matrix equation. A design algorithm for the stabilizing regulator is given, which is illustrated by means of numerical examples.
Reviewer: I.Asmykovitch

MSC:

93D15 Stabilization of systems by feedback
34K35 Control problems for functional-differential equations
93C05 Linear systems in control theory
15A24 Matrix equations and identities
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93B55 Pole and zero placement problems
93B17 Transformations
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