Stability analysis for switched genetic regulatory networks: An average dwell time approach

Journal of the Franklin Institute

Volumn 348, Issue 10, 2011, Pages 2718-2733

  Yao, Yingtao ^a   Liang, Jinling ^a   Cao, Jinde ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

AVERAGE DWELL-TIME APPROACH; DELAY BOUND; GENETIC REGULATORY NETWORKS; LYAPUNOV-KRASOVSKII FUNCTIONALS; MATLAB TOOLBOXES; MATRIX INEQUALITY; NETWORK SWITCHES; PIECEWISE LYAPUNOV FUNCTIONAL; STABILITY ANALYSIS; THEORETICAL RESULT; TIME-VARYING DELAY;

EXPONENTIAL FUNCTIONS; STABILITY CRITERIA;

SWITCHING CIRCUITS;

EID: 80255123440     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2011.04.016     Document Type: Article

References (32)

1. M.B. Elowitz, and S. Leibler A synthetic oscillatory network of transcriptional regulators Nature 403 2000 335 338 (Pubitemid 30062393)
2. T.S. Gardner, C.R. Cantor, and J.J. Collins Construction of a genetic toggle switch in Escherichia coli Nature 403 2000 339 342 (Pubitemid 30062394)
3. W. Wongrat, A. Younes, A. Elkamel, P.L. Douglas, and A. Lohi Control vector optimization and genetic algorithms for mixed-integer dynamic optimization in the synthesis of rice drying processes Journal of the Franklin Institute 2010
4. Z. Wang, H. Gao, J. Cao, and X. Liu On delayed genetic regulatory networks with polytopic uncertainties: robust stability analysis IEEE Transactions on NanoBioscience 7 2 2008 154 163 (Pubitemid 351835963)
5. J. Cao, and F. Ren Exponential stability of discrete-time genetic regulatory networks with delays IEEE Transactions on Neural Networks 19 3 2008 520 523 (Pubitemid 351411574)
6. W. He, and J. Cao Robust stability of genetic regulatory networks with distributed delay Cognitive Neurodynamics 2 4 2008 355 361
7. L. Chen, and K. Aihara Stability of genetic regulatory networks with time delay IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 49 5 2002 602 608 (Pubitemid 34711460)
8. L. Chen, and K. Aihara A model of periodic oscillation for genetic regulatory systems IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 49 10 2002 1429 1436 (Pubitemid 35289414)
9. H. Gao, J. Lam, and G. Chen New criteria for synchronization stability of general complex dynamical networks with coupling delays Physics Letters A 360 2 2006 263 273 (Pubitemid 44647562)
10. J. Qiu, and J. Cao Delay-dependent exponential stability for a class of neural networks with time delays and reaction-diffusion terms Journal of the Franklin Institute 346 4 2009 301 314
11. P.L. Liu Robust exponential stability for uncertain time-varying delay systems with delay dependence Journal of the Franklin Institute 346 10 2009 958 968
12. P. Balasubramaniam, R. Sathy, and R. Rakkiyappan A delay decomposition approach to fuzzy Markovian jumping genetic regulatory networks with time-varying delays Fuzzy Sets and Systems 164 1 2011 82 100
13. P. Balasubramaniam, and R. Sathy Robust asymptotic stability of fuzzy Markovian jumping genetic regulatory networks with time-varying delays by delay decomposition approach Communications in Nonlinear Science and Numerical Simulation 16 2 2011 928 939
14. Y. Liu, Z. Wang, and X. Liu Exponential synchronization of complex networks with Markovian jump and mixed delays Physics Letters A 372 22 2008 3986 3998
15. S. Mou, H. Gao, W. Qiang, and K. Chen New delay-dependent exponential stability for neural networks with time delay IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 38 2 2008 571
16. Z. Fei, H. Gao, and P. Shi New results on stabilization of Markovian jump systems with time delay Automatica 45 10 2009 2300 2306
17. ∞ model reduction for uncertain switched linear discrete-time systems Automatica 44 11 2008 2944 2949
18. D. Hanbay, I. Turkoglu, and Y. Demir Modeling switched circuits based on wavelet decomposition and neural networks Journal of the Franklin Institute 347 3 2010 607 617
19. ∞ guaranteed cost control for uncertain Markovian jump systems with mode-dependent distributed delays and input delays Journal of the Franklin Institute 346 10 2009 945 957
20. W. Pan, Z. Wang, H. Gao, and X. Liu Monostability and multistability of genetic regulatory networks with different types of regulation functions Nonlinear Analysis: Real World Applications 11 2010 3170 3185
21. Y. Sun, G. Feng, and J. Cao Stochastic stability of Markovian switching genetic regulatory networks Physics Letters A 373 1819 2009 1646 1652
22. J. Liang, J. Lam, and Z. Wang State estimation for Markov-type genetic regulatory networks with delays and uncertain mode transition rates Physics Letters A 373 47 2009 4328 4337
23. A. Datta, A. Choudhary, M.L. Bittner, and E.R. Dougherty External control in Markovian genetic regulatory networks Machine Learning 52 1 2003 169 191
24. F. Ren, and J. Cao Asymptotic and robust stability of genetic regulatory networks with time-varying delays Neurocomputing 71 46 2008 834 842 (Pubitemid 351168429)
25. Z. Wang, G. Liu, Y. Sun, and H. Wu Robust stability of stochastic delayed genetic regulatory networks Cognitive Neurodynamics 3 3 2009 271 280
26. X. Lou, Q. Ye, and B. Cui Exponential stability of genetic regulatory networks with random delays Neurocomputing 73 46 2010 759 769
27. Y. Wang, Z. Ma, J. Shen, Z. Liu, and L. Chen Periodic oscillation in delayed gene networks with SUM regulatory logic and small perturbations Mathematical Biosciences 220 1 2009 34 44
28. P. Smolen, D.A. Baxter, and J.H. Byrne Mathematical modeling of gene networks Neuron 26 3 2000 567 580
29. K. Gu An integral inequality in the stability problem of time-delay systems Proceedings of the 39th IEEE Conference on Decision and Control vol. 3 2000
30. D. Liberzon Switching in Systems and Control 2003 Springer
31. L. Wu, Z. Feng, and W.X. Zheng Exponential stability analysis for delayed neural networks with switching parameters: average dwell time approach IEEE Transactions on Neural Networks 21 9 2010 1396 1407
32. L. Zhang, and H. Gao Asynchronously switched control of switched linear systems with average dwell time Automatica 46 5 2010 953 958