On Delay-Dependent Conditions of ISS for Generalized Persidskii Systems

In this article, 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.