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Synchronization of Identical Boundary-Actuated Semilinear Infinite-Dimensional Systems

Abstract : This paper deals with synchronization of a class of infinite-dimensional nonlinear systems. The considered network is described by a collection of semilinear Lipschitz boundaryactuated infinite-dimensional dynamics. For undirected connected graphs, sufficient conditions for asymptotic synchronization are established. We show that the proposed conditions when applied to systems of hyperbolic semilinear conservation laws can be recast into a set of matrix inequalities. For this class of systems, sufficient conditions in the form of linear matrix inequalities for the design of synchronizing policies are provided.
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Contributor : Francesco Ferrante Connect in order to contact the contributor
Submitted on : Tuesday, May 4, 2021 - 8:53:52 AM
Last modification on : Friday, October 29, 2021 - 9:59:12 AM

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Francesco Ferrante, Giacomo Casadei, Christophe Prieur. Synchronization of Identical Boundary-Actuated Semilinear Infinite-Dimensional Systems. IEEE Control Systems Letters, IEEE, 2022, 6, pp.1322-1327. ⟨10.1109/LCSYS.2021.3081481⟩. ⟨hal-03216429⟩



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