A Local Feedback Control Bringing a Linear System to Equilibrium

Alexander Ovseevich ()
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Alexander Ovseevich: RAS

Journal of Optimization Theory and Applications, 2015, vol. 165, issue 2, No 11, 532-544

Abstract: Abstract We design a bounded feedback control that steers a controllable linear system to equilibrium in a finite time. The procedure amounts to solving several linear-algebraic problems, including linear matrix inequalities. We solve these problems in an efficient way. The resulting steering time and the minimum time have the same order of magnitude.

Keywords: Reachable (attainable) set; Common Lyapunov function; Brunovsky canonical form; 39B03; 37B25; 93B10 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-014-0636-1

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