Abstract

A brief review on stabilization problem for linear control systems is presented. The statements of Pyragas’ and Brockett’s problems for stabilization of linear control systems by time-delayed feedback control and time-varying static output feedback are given. Leonov’s algorithms of nonstationary stabilization for solutions of Pyragas’ and Brockett’s problems are presented. Necessary and sufficient conditions for the stabilizability of two- and three-dimensional systems are given.

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