On Delay-Dependent Conditions of ISS for Generalized Persidskii Systems

Wenjie Mei, Denis V. Efimov, Rosane Ushirobira, Emilia Fridman · IEEE Transactions on Automatic Control · 2022

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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