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2014 Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays
Lizi Yin, Yungang Liu
Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/897280

Abstract

The global exponential stability is investigated for genetic regulatory networks with time-varying delays and continuous distributed delays. By choosing an appropriate Lyapunov-Krasovskii functional, new conditions of delay-dependent stability are obtained in the form of linear matrix inequality (LMI). The lower bound of derivatives of time-varying delay is first taken into account in genetic networks stability analysis, and the main results with less conservatism are established by interactive convex combination method to estimate the upper bound of derivative function of the Lyapunov-Krasovskii functional. In addition, two numerical examples are provided to illustrate the effectiveness of the theoretical results.

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Lizi Yin. Yungang Liu. "Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/897280

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023268
MathSciNet: MR3208571
Digital Object Identifier: 10.1155/2014/897280

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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