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.
- Biological systems
- delay systems
- generalized Persidskii systems
- nonlinear systems
- stability analysis