Decoupling of square linear systems with delays. (English) Zbl 0910.93039

Authors’ summary: “The aim of this paper is to exhibit matricial necessary and sufficient conditions for the decoupling problem of linear systems with commensurate delays, under static nonpredictive and stable state feedbacks. A “matrix” approach is used which is similar to the Falb-Wolovich one for systems without delay. The conditions obtained here are quite simple, easily computable, and less restrictive than the previous ones. Moreover, we give the only possible design of the physically realizable control law that satisfies the problem”.


93B52 Feedback control
93B27 Geometric methods
93C05 Linear systems in control theory
34K35 Control problems for functional-differential equations
93C35 Multivariable systems, multidimensional control systems
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