Constructing Lyapunov–Krasovskii functionals for some classes of switched positive systems with infinite delay
Autors:
Alexander Aleksandrov ,
Pages:
05-11
Annotation:
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.
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