Geodesic
Delay-dependent stability of high-order neutral systems
Kybernetika, Tome 57 (2021) no. 5, pp. 737-749.

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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.
DOI : 10.14736/kyb-2021-5-0737
Classification : 15A18, 34K06, 34K20
Keywords: delay-dependent stability; high-order neutral delay systems; bound of unstable eigenvalues; argument principle; nonnegative matrix 
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Zhao, Yanbin; Hu, Guang-Da. Delay-dependent stability of high-order neutral systems. Kybernetika, Tome 57 (2021) no. 5, pp. 737-749. doi : 10.14736/kyb-2021-5-0737. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-5-0737/

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