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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2024

Finite-time stability properties of Lur'e systems with piecewise continuous nonlinearities

Résumé

We analyze the stability properties of Lur’e systems with piecewise continuous nonlinearities by exploiting the notion of set-valued Lie derivative for Lur’e-Postnikov Lyapunov functions. We first extend an existing result of the literature to establish the global asymptotic stability of the origin under a more general sector condition. We then present the main results of this work, namely additional conditions under which output and state finite-time stability properties also hold for the considered class of systems. We highlight the relevance of these results by certifying the stability properties of two engineering systems of known interest: mechanical systems affected by friction and cellular neural networks.
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Dates et versions

hal-04530198 , version 1 (03-04-2024)

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Simone Mariano, Romain Postoyan, Luca Zaccarian. Finite-time stability properties of Lur'e systems with piecewise continuous nonlinearities. IEEE Transactions on Automatic Control, inPress, ⟨10.1109/TAC.2024.3383278⟩. ⟨hal-04530198⟩
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