This article is cited in 10 papers

The method of Lyapunov functionals for neutral type linear difference-differential systems with almost periodic coefficients

R. K. Romanovskii, G. A. Trotsenko

Omsk State Technical University

Abstract: A version of the direct Lyapunov method is suggested for the systems under study with the condition weakened on the derivative of the functional along the trajectories of the system as compared with the familiar results for equations with arbitrary continuous coefficients.

Keywords: neutral type equation, almost periodic coefficients, version of the direct Lyapunov method, asymptotic and weak exponential stability, hull of an almost periodic matrix, resolving pair.

UDC: 517.929

Received: 03.08.2001
Revised: 09.07.2002

 English version: Siberian Mathematical Journal, 2003, 44:2, 355–362

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