Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant CoefficientsReport as inadecuate




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Boundary Value Problems

, 2010:956121

First Online: 18 October 2010Received: 06 July 2010Accepted: 12 October 2010

Abstract

This paper investigates the exponential-type stability of linear neutral delay differential systems with constant coefficients using Lyapunov-Krasovskii type functionals, more general than those reported in the literature. Delay-dependent conditions sufficient for the stability are formulated in terms of positivity of auxiliary matrices. The approach developed is used to characterize the decay of solutions by inequalities for the norm of an arbitrary solution and its derivative in the case of stability, as well as in a general case. Illustrative examples are shown and comparisons with known results are given.

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Author: J Baštinec - J Diblík - D Ya Khusainov - A Ryvolová

Source: https://link.springer.com/







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