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- W2400305489 abstract "The work consists of two parts. The first part is devoted to lin- ear continuous-time systems and the second one to linear discrete-time systems. In the first part stationary and nonstationary stabilization of linear time-invariant continuous-time systems is considered. A simple and direct proof of Zubov's and Wonham's Theorem on pole assignment in controllable linear systems by means of a suitable static time-invariant output feedback of the state is given. Brockett's prob- lem of stabilization by means of a static time-varying output feedback of linear system is considered. To solve this problem two approaches are considered. Sufficient condi- tions of low- and high-frequency stabilization of controllable linear systems are given. Also examples of possibility of nonstationary low-frequency and high-frequency sta- bilization of two-dimensional and three-dimensional linear systems are given. In the second part the discrete-time version of Brockett's problem for linear control systems is considered. It is shown that under mild conditions stabilization for linear time- invariant discrete-time systems is possible by means of piecewise-constant periodic with a sufficiently large period static output feedback control. Sufficient conditions of low-frequency stabilization are given. For second-order systems a necessary and sufficient condition of stabilizability by periodic output feedback is given. Also pole assignment problem for linear time-invariant discrete-time systems by static periodic output feedback is considered." @default.
- W2400305489 created "2016-06-24" @default.
- W2400305489 creator A5029760527 @default.
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- W2400305489 date "2010-01-01" @default.
- W2400305489 modified "2023-09-25" @default.
- W2400305489 title "Stabilization of controllable linear systems" @default.
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