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Article Details

Copyright Statement: This is an open access article licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, even commercially as long as the original work is properly cited.

Delay-Decomposition Stability Approach of Nonlinear Neutral Systems with Mixed Time-Varying Delays

Author 1: Ilyes MAZHOUD
Author 2: Issam AMRI
Author 3: Dhaou SOUDANI

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Digital Object Identifier (DOI) : 10.14569/IJACSA.2016.070553

Article Published in International Journal of Advanced Computer Science and Applications(IJACSA), Volume 7 Issue 5, 2016.

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Abstract: This paper deals with the asymptotic stability of neutral systems with mixed time-varying delays and nonlinear perturbations. Based on the Lyapunov–Krasovskii functional including the triple integral terms and free weighting matrices approach, a novel delay-decomposition stability criterion is obtained. The main idea of the proposed method is to divide each delay interval into two equal segments. Then, the Lyapunov–Krasovskii functional is used to split the bounds of integral terms of each subinterval. In order to reduce the stability criterion conservatism, delay-dependent sufficient conditions are performed in terms of Linear Matrix Inequalities (LMIs) technique. Finally, numerical simulations are given to show the effectiveness of the proposed stability approach.

Keywords: Neutral systems; Lyapunov–Krasovskii approach; asymptotic stability; mixed time-varying delays; nonlinear perturbations; Linear Matrix Inequalities (LMIs)

Ilyes MAZHOUD, Issam AMRI and Dhaou SOUDANI, “Delay-Decomposition Stability Approach of Nonlinear Neutral Systems with Mixed Time-Varying Delays” International Journal of Advanced Computer Science and Applications(IJACSA), 7(5), 2016. http://dx.doi.org/10.14569/IJACSA.2016.070553

@article{MAZHOUD2016,
title = {Delay-Decomposition Stability Approach of Nonlinear Neutral Systems with Mixed Time-Varying Delays},
journal = {International Journal of Advanced Computer Science and Applications},
doi = {10.14569/IJACSA.2016.070553},
url = {http://dx.doi.org/10.14569/IJACSA.2016.070553},
year = {2016},
publisher = {The Science and Information Organization},
volume = {7},
number = {5},
author = {Ilyes MAZHOUD and Issam AMRI and Dhaou SOUDANI}
}


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