Kybernetika 57 no. 5, 737-749, 2021

Delay-dependent stability of high-order neutral systems

Yanbin Zhao and Guang-Da HuDOI: 10.14736/kyb-2021-5-0737

Abstract:

In this note, we are concerned with delay-dependent stability of high-order delay systems of neutral type. A bound of unstable eigenvalues of the systems is derived by the spectral radius of a nonnegative matrix. The nonnegative matrix is related to the coefficient matrices. A stability criterion is presented which is a necessary and sufficient condition for the delay-dependent stability of the systems. Based on the criterion, a numerical algorithm is provided which avoids the computation of the coefficients of the characteristic function. Under some conditions, the presented results are less conservative than those reported. A numerical example is given to illustrate the main results.

Keywords:

delay-dependent stability, argument principle, high-order neutral delay systems, bound of unstable eigenvalues, nonnegative matrix

Classification:

15A18, 34K06, 34K20

paper.pdf

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