A note on asymptotic stabilization of linear systems by periodic, piecewise constant, output feedback |
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Authors: | J.C. Allwright H.P. Wong |
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Affiliation: | Electrical and Electronic Engineering Department, Imperial College London, Exhibition Road, London SW7 2BT, UK |
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Abstract: | This note studies the asymptotic stabilization problem for controllable and observable, single-input single-output, linear, time-invariant, continuous-time systems by means of memoryless output feedback of the form u(t)=k(t)y(t), with k(t) periodic and piecewise constant. A necessary and sufficient condition, together with a simpler to test sufficient condition, given in terms of a bilinear matrix inequality, is presented. A few illustrative examples complete the paper. |
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Keywords: | Periodic output feedback Output feedback stabilization Linear systems |
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