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Conference Papers Year : 2022

Lyapunov Function computation for Periodic Linear Hybrid Systems via Handelman, Polya and SoS approaches: A comparative study

Abstract

We propose a method for the stability analysis of linear hybrid systems with periodic jumps. The method relies on the solution to polynomial inequalities based on the Handelman decomposition. Compared to existing approaches, such as sum-of-squares (SoS) and Polya's theorem, the proposed method reduces the computation time to obtain stability certificates.
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Dates and versions

hal-03685115 , version 1 (01-06-2022)

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Leonardo Toso, Giorgio Valmorbida. Lyapunov Function computation for Periodic Linear Hybrid Systems via Handelman, Polya and SoS approaches: A comparative study. 18th IFAC Workshop on Control Applications of Optimization (CAO 2022), Jul 2022, Gif-sur-Yvette, France. ⟨10.1016/j.ifacol.2022.09.017⟩. ⟨hal-03685115⟩
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