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On delay-dependent conditions of ISS for generalized Persidskii systems

Wenjie Mei 1 Denis Efimov 1 Rosane Ushirobira 1 Emilia Fridman 2 
1 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : In this paper, input-to-state stability and stabilization conditions in time-delay generalized Persidskii systems are studied. These conditions are formulated in terms of linear matrix inequalities, which may depend on delay values, and be local or global in state space. Numerical examples of opinion dynamics and the Lotka-Volterra model illustrate the efficiency of the proposed results.
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https://hal.inria.fr/hal-03749191
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Submitted on : Wednesday, August 10, 2022 - 3:08:33 PM
Last modification on : Wednesday, September 7, 2022 - 8:14:05 AM

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Wenjie Mei, Denis Efimov, Rosane Ushirobira, Emilia Fridman. On delay-dependent conditions of ISS for generalized Persidskii systems. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, In press. ⟨hal-03749191⟩

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