Constructing Lyapunov–Krasovskii functionals for some classes of switched positive systems with infinitedelay

Alexander Aleksandrov

The problem of absolute stability is investigated for a switched positive Persidskii system with infinite delay. With the aid of a special construction of Lyapunov–Krasovskii functional, sufficient conditions of absolute stability are derived. These conditions are formulated in terms of the existence of a positive solution for an auxiliary system of linear algebraic inequalities. It is shown that a similar construction of Lyapunov–Krasovskii functional can be used for the permanence analysis for a Lotka–Volterra model of popolation dynamics.

CYBERNETICS AND PHYSICS, VOL. 13, NO. 1, 2024, 5–11
https://doi.org/10.35470/2226-4116-2024-13-1-5-11

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