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Stability Analysis for A Class of Linear Hyperbolic System of Balance Laws with Sampled-data Control ⋆

Abstract : The stability for a class of linear hyperbolic systems with distributed sampled-data controllers is discussed in this paper. The original sampled-data system is firstly transformed into a new equivalent system by modelling the sampling induced error as a reset integrator operator. Then we construct an appropriate Lyapunov function and obtain sufficient conditions for the Rε-stability of the system based on linear matrix inequalities (LMIs). A numerical example illustates our results: when the sampling interval is within the allowable range, the solution of the system converges from the domain of attraction to a positive invariant set.
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https://hal.archives-ouvertes.fr/hal-02491857
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Submitted on : Wednesday, February 26, 2020 - 2:18:17 PM
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Xinyong Wang, Ying Tang, Christophe Fiter, Laurentiu Hetel. Stability Analysis for A Class of Linear Hyperbolic System of Balance Laws with Sampled-data Control ⋆. IFAC, Jul 2020, Berlin, Germany. ⟨hal-02491857⟩

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