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Stabilization of Linear Control Systems and Pole Assignment Problem: A Survey

  • TO THE MEMORY OF G.A. LEONOV
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Abstract

This paper reviews the problems of stabilization and pole assignment in the control of linear time-invariant systems using the static state and output feedback. The main results are presented, along with a literature review. Stationary and nonstationary stabilizations with the static feedback are considered. The algorithms of low- and high-frequency stabilization of linear systems for solving Brockett’s stabilization problem are provided. The effective necessary and sufficient conditions for stabilization of two- and three-dimensional controllable linear systems are given in terms of the system parameters. The pole assignment problem and the related issues for linear systems are considered.

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    M. M. Shumafov

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Shumafov, M.M. Stabilization of Linear Control Systems and Pole Assignment Problem: A Survey. Vestnik St.Petersb. Univ.Math. 52, 349–367 (2019). https://doi.org/10.1134/S1063454119040095

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