Stabilization of linear control systems. Pole assignment problem. A survey

Abstract

The paper reviews the problems of stabilization and pole assignment in the control of linear time-invariant systems by static state and output feedback. The main results on this topics are presented along with a literature review. Stationary and nonstationary stabilization by static feedback are considered. Algorithms of low- and high-frequency stabilization of linear systems for solving of the Brockett’s stabilization problem are delivered. Effective necessary and sufficient conditions for stabilization of two- and three-dimensional controllable linear systems in terms of the system parameters are given. The pole assignment problem and related questions for linear systems are considered.