2019
Том 71
№ 10

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Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay

Kaiser C., Korenevsky D. G.

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Abstract

We establish sufficient algebraic coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay in the case of a rational correlation between delays. We use (n 2 + m)-parameter Lyapunov functions (n is the dimension of the system of equations and m is the number of delays).

English version (Springer): Ukrainian Mathematical Journal 50 (1998), no. 4, pp 586-592.

Citation Example: Kaiser C., Korenevsky D. G. Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay // Ukr. Mat. Zh. - 1998. - 50, № 4. - pp. 516–522.

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