Estimates of the exponential decay of solutions to linear systems of neutral type with periodic coefficients

I. I. Matveeva

Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 3, pp. 96-103.

Résumé

We consider the class of linear systems of delay differential equations with periodic coefficients. Using a special class of Lyapunov — Krasovskiĭ functionals, we establish conditions for the exponential stability of the zero solution and obtain estimates characterizing the exponential decay rate of solutions at infinity.

Détail

Keywords: time-delay system of neutral type, periodic coefficients, exponential stability, Lyapunov — Krasovskiĭ functional.

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