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Delay-Dependent Stability for Genetic Regulatory Networks

2011 IEEE International Conference on Bioinformatics and Biomedicine, 2011
The study of stability is essential for designing or controlling genetic regulatory networks, which can be described by nonlinear differential equations with time delays. Much attention has been paid to the study of delay-independent stability of genetic regulatory networks and as a result, many sufficient conditions have been derived for delay ...
Li-Ping Tian, Fang-Xiang Wu
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Delay-dependent stability of reset control systems

2007 American Control Conference, 2007
This work presents results on the stability of time-delay systems under reset control. The case of delay-dependent stability is addressed by developing a generalization of previous stability results of reset systems without delays, and also the case of delay-independent stability.
Alfonso Banos, Antonio Barreiro
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Delay Dependent Robust Stability of Reset Systems

IECON 2018 - 44th Annual Conference of the IEEE Industrial Electronics Society, 2018
The dynamic behavior of reset control systems can be upgraded by appropriate implementation of a reset mechanism. Lyapunov- Krasovskii theory plays an effective role in evaluating stability of reset control systems with delays. In this study, we provide a sufficient delay-dependent condition to help in the analysis of robust reset control systems.
Magdi S. Mahmoud, Bilal J. Karaki
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Delay-dependent stabilization of singularly perturbed jump linear systems

International Journal of Control, 2004
This paper considers the stability and stabilization problems of continuous-time singularly perturbed Markov jump linear systems. LMI-based sufficient conditions for the system to be stochastically stable are given, and using LMI approaches, two methods for designing state feedback stabilizing controllers are also derived. Numerical examples are worked
E. K. Boukas, Z. K. Liu
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Delay‐dependent robust stability and stabilization of uncertain neutral systems

Asian Journal of Control, 2008
AbstractThis paper discusses the problems of the delay‐dependent robust stability and stabilization of uncertain neutral systems with time‐varying delays. Delay‐dependent stability criteria are derived by taking the relationships between the terms in the Leibniz‐Newton formula into account.
Yong He, Min Wu, Jin‐Hua She
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Delay-dependent stability switches in fractional differential equations

Communications in Nonlinear Science and Numerical Simulation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Čermák, Jan, Kisela, Tomáš
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Delay-Dependent Stabilization for Singular Time-Delay Systems

Applied Mechanics and Materials, 2012
Some new results of delay-dependent stabilization for linear singular time-delay systems are presented. And the time delay considered here is assumed to be constant but unknown. By using a new Lyapunov-krasovskii functional which splits the whole delay interval into two subintervals and defines a different energy function on each subinterval, a ...
Jin Feng Gao, Jia Ren, Chuang Meng
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On delay-dependent stability in neutral systems

Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001
This paper focuses on the delay-dependent stability problem of a class of linear systems described by neutral differential equations involving pointwise or discrete delays, using an appropriate parametrized model transformation of the original system.
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Delay-dependent stability of discrete-time interconnected systems

Journal of Control Theory and Applications, 2010
This paper studies the delay-dependent stability problem of discrete-time interconnected systems with time-varying delays. By using vector Lyapunov function approach and linear matrix inequalities (LMIs), new stability conditions are derived. These results proposed in this paper are all at subsystems level. After comparing with the existing results, it
Xiaoheng Chang   +2 more
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Delay-dependent stability domains of nonlinear delay systems

Mathematics and Computers in Simulation, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Goubet-Bartholoméüs, A.   +2 more
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