Stabilization of planar switched linear systems using polar coordinates

Analysis of stability and stabilizability of switched linear systems is a well-researched topic. This article pursues a polar coordinate approach which offers a convenient framework to analyze second-order continuous time switched linear systems. We elaborate on the analytic utility of polar coordinates and present necessary and sufficient conditions under which a stabilizing switched control law can be constructed. Implications of polar coordinate analysis for switched linear systems include sensitivity analysis of switching control laws and the design of oscillators.

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