A note on asymptotic stabilization of linear systems by periodic, piecewise constant, output feedback

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. 2004 Elsevier Ltd. All rights reserved.

• Type: Journal
• Year: 2005
• Where: AUTOMATICA
• Authors: J. C. Allwright, Alessandro Astolfi, H. P. Wong
• Keywords: Asymptotic Stabilization Problem, AUTOMATICA 2005, Memoryless Output Feedback, Sufficient Condition