Uniform exponential stability of linear delayed integro-differential vector equations

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Uniform exponential stability of a linear delayed integro-differential vector equation is considered. The main result is of an explicit type, depending on all delays, and its proof is based on an a priori estimation of solutions, a Bohl-Perron type result, and utilization of the matrix measure.

Klíčová slova
A priori estimation
Delay
exponential stability
Integro-differential systems
Linear systems Bohl-Perron type result