Certifying unstability of Switched Systems using Sum of Squares Programming

Legat, Benoît;Parrilo, Pablo A.;Jungers, Raphaël
(2017) 36th Benelux Meeting on Systems and Control — Location: Spa, Belgium (28.March.2017)

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The joint spectral radius (JSR) of a set of matrices characterizes the maximal asymptotic growth rate of an infinite product of matrices of the set. This quantity appears in a number of applications including the stability of switched and hybrid systems. The natural convex problem used for the stability analysis of these systems searches for a Lyapunov function.
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Legat, B., Parrilo, P. A., & Jungers, R. (2017). Certifying unstability of Switched Systems using Sum of Squares Programming. 36th Benelux Meeting on Systems and Control, Spa, Belgium. https://hdl.handle.net/2078.5/274592