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International Journal of Machine Learning and Cybernetics
Erschienen in: International Journal of Machine Learning and Cybernetics 6/2016

01.12.2016 | Original Article

Robust stability analysis of uncertain genetic regulatory networks with mixed time delays

verfasst von: Xiaowei Zhang, Ruoxia Li, Chao Han, Rong Yao

Erschienen in: International Journal of Machine Learning and Cybernetics | Ausgabe 6/2016

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Abstract

This study is concerned with the robust stability problem of uncertain genetic regulatory networks (GRNs) with random discrete time delays and distributed time delays which exist both in translation process and feedback regulation process. By utilizing a novel Lyapunov–Krasovskii functional which contains some triple integral terms and takes into account the ranges of delays, we derive sufficient delay-dependent conditions to ensure the asymptotically stability of GRNs with mixed time delays. Moreover, based on the idea of “delay decomposing”, “reciprocally convex combination approach”, less conservative conditions are obtained by using the lower bound lemma together with Jensen inequality. In addition, two corollaries are also been presented. Finally, numerical examples are presented to show the effectiveness of our proposed methods.
Vorheriger Artikel On generalized fuzzy ideals of ordered -groupoids
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Literatur
1.
Somogyi R, Sniegoski C (1996) Modeling the complexity of genetic networks: understanding multigenic and pleiotropic regulation. Complexity 1:45–63MathSciNetCrossRef
2.
Weaver DC, Workman CT, Storm GD (1999) Modeling regulatory networks with weight matrices. Proc Pac Symp Biocomput 4:113–123
3.
Jong H (2002) Modeling and simulation of genetic regulatory systems. J Comput Biol 9:67–103CrossRef
4.
Chen L, Aihara K (2002) Stability of genetic regulatory networks with time delay. IEEE Trans Circuits Syst I 49:602–608MathSciNetCrossRef
5.
Smolen P, Baxter DA, Byrne JH (2000) Mathematical modeling of gene networks review. Neuron 26:567–580CrossRef
6.
Tang Y, Wang Z, Fang J (2011) Parameters identification of unknown delayed genetic regulatory networks by a switching particle swarm optimization al gorithm. Expert Syst Appl 38:2523–2535CrossRef
7.
Zheng C, Zhang Y, Wang Z (2014) Stability analysis of stochastic reaction-diffusion neural networks with Markovian switching and time delays in the leakage terms. Int J Mach Learn Cybern 5(1):3–12MathSciNetCrossRef
8.
He Q, Liu D, Wu H, Ding S (2014) Robust exponential stability analysis for interval Cohen-Grossberg type BAM neural networks with mixed time delays. Int J Mach Learn Cybern 5(1):23–38CrossRef
9.
Gan Q (2012) Adaptive synchronization of Cohen-Grossberg neural networks with unknown parameters and mixed time-varying delays. Commun Nonlinear Sci Numer Simulat 17:3040–3049MathSciNetCrossRefMATH
10.
Liu D, Du Y (2014) New results of stability analysis for a class of neutral-type neural network with mixed time delays. Int J Mach Learn Cybern. doi:10.​1007/​s13042-014-0302-9
11.
Wu H, Li R, Wei H, Zhang X, Yao R (2014) Synchronization of a class of memristive neural networks with time delays via sampled-data control. Int J Mach Learn Cybern. doi:10.​1007/​s13042-014-0271-z
12.
Yang X, Cao J, Lu J (2012) Stochastic synchronization of complex networks with nonidentical nodes via hybrid adaptive and impulsive control. IEEE Trans Circuits Syst 59:371–384MathSciNetCrossRef
13.
Pan W, Wang Z, Gao H (2010) On multistability of delayed genetic regulatory networks with multivariable regulation functions. Math Biosci 228:100–109MathSciNetCrossRefMATH
14.
Wu F (2011) Global and robust stability analysis of genetic regulatory networks with time-varying delays and parameter uncertainties. IEEE Trans Biomed Circuits Syst 5(4):391–398CrossRef
15.
Li C, Chen L, Aihara K (2006) Stability of genetic networks with SUM regulatory logic: Lure system and linear matrix inequality approach. IEEE Trans Circuits Syst Regul Pap 53(11):2451–2458MathSciNetCrossRef
16.
17.
Becskei A, Serrano L (2000) Engineering stability in gene networks by autoregulation. Nature 405:590–593CrossRef
18.
Ren F, Cao J (2008) Asympotic and robust stability of genetic regulatory networks with time-varying delays. Neurocomputing 71:834–842CrossRef
19.
Gardner T, Cantor C, Collins J (2000) Construction of a genetic toggle switch in Escherichia coli. Nature 403:339–342CrossRef
20.
Li C, Chen L, Aihara K (2006) Synchronization of coupled nonidentical genetic oscillators. Phys Biol 3:1478–3975CrossRef
21.
Zhang W, Fang J, Tang Y (2011) Stochastic stability of Markovian jumping genetic regulatory networks with mixed time delays. Appl Math Comput 217:7210–7225MathSciNetMATH
22.
Wang Y, Ma Z, Shen J, Liu Z, Chen L (2009) Periodic oscillation in delayed gene networks with SUM regulatory logic and small perturbations. Math Biosci 220:34MathSciNetCrossRefMATH
23.
Balasubramaniam P, Sathy R (2011) Robust asymptotic stability of fuzzy Markovian jumping genetic regulatory networks with time-varying delays by delay decomposition approach. Commun Nonlinear Sci Numer Simulat 16:928–939MathSciNetCrossRefMATH
24.
Rakkiyappan R, Balasubramaniam P (2010) Delay-probability-distribution-dependent stability of uncertain stochastic genetic regulatory netw orks with mixed time-varying delays: an LMI approach. Nonlinear Anal Hybrid Syst 4:600–607MathSciNetCrossRefMATH
25.
Wang W, Zhong S, Liu F (2012) Robust filtering of uncertain stochastic genetic regulatory networks with time-varying delays. Chaos, Solitons & Fractals 45:915–929MathSciNetCrossRefMATH
26.
Wang W, Zhong S, Liu F (2012) New delay-dependent stability criteria for uncertain genetic regulatory networks with time-varying delays. Neurocomputing 93:19–26CrossRef
27.
Li C, Chen L, Aihara K (2007) Stochastic synchronization of genetic oscillator networks. BMC Syst Biol 1:1–11CrossRef
28.
Vembarasan V, Nagamani G, Balasubramaniam P (2013) State estimation for delayed genetic regulatory networks based on passivity theory. Math Biosci 244:165–175MathSciNetCrossRefMATH
29.
Balasubramaniam P, Jarina Banu L (2013) Robust state estimation for discrete-time genetic regulatory network with random delays. Neurocomputing 122:349–369CrossRef
30.
Wang W, Zhong S (2012) Stochastic analysis of uncertain genetic regulatory networks with mixed time-varying delays. Neurocomputing 82:143–156CrossRef
31.
Wang W, Nguang S, Zhong S, Liu F (2013) Robust stability analysis of stochastic delayed genetic regulatory networks with polytopic uncertainties and linear fractional parametric uncertainties. Commun Nonlinear Sci Numer Simulat
32.
Lou X, Ye Q, Cui B (2010) Exponential stability of genetic regulatory networks with random delays. Neurocomputing 73:759–769CrossRef
33.
Balasubramaniam P, Rakkiyappan R, Krishnasamy R (2010) Stochastic stability of Markovian jumping uncertain stochastic genetic regulatory networks with interval time-varying delays. Math Biosci 226:97–108MathSciNetCrossRefMATH
34.
35.
Liu P (2013) Robust stability analysis of genetic regulatory network with time delays. ISA Trans 52:326–334CrossRef
36.
Wang W, Zhong S (2012) Delay-dependent stability criteria for genetic regulatory networks with time-varying delays and nonlinear disturbance. Commun Nonlinear Sci Numer Simulat 17:3597–3611MathSciNetCrossRefMATH
37.
Wang W, Zhong S, Nguang SK, Liu F (2013) Novel delay-dependent stability criterion for uncertain genetic regulatory networks with interval time-varying delays. Neurocomputing 121:170–178CrossRef
38.
Balasubramaniam P, Sathy R, Rakkiyappan R (2011) A delay decomposition approach to fuzzy Markovian jumping genetic regulatory networks with time-varying delays. Fuzzy Sets Syst 164:82–100MathSciNetCrossRefMATH
39.
Cu K (2000) An integral inequality in the stability problem of time delay systems. In: Proceedings of the 39th IEEE Conference on Decision Control, p 2805–2810
40.
Park P, Ko JW, Jeong CK (2011) Reciprocally convex approach to stability of systems with time-varying delays. Automatica 47:235–238MathSciNetCrossRefMATH
41.
Boyd S, El Ghaoui L, Feron E, Balakrishnan V Linear matrix inequalities in system and control theory. Society for Industrial and Applied Mathematics, Philadelphia
42.
Zhou S, Feng G, Lam J, Xu S (2005) Robust \(H_\infty \) control for discrete-time fuzzy systems via basis-dependent Lyapunov functions. Inf Sci 174:197–217MathSciNetCrossRefMATH
43.
Lakshmanan S, Parka JH, Jung HY, Kwon OM, Rakkiyappan R (2013) A delay partitioning approach to delay-dependent stability analysis for neutral type neural networks with discrete and distributed delays. Neurocomputing 111:81–89CrossRef
44.
Wu H, Liao X, Guo S, Feng W, Wang Z (2009) Stochastic stability for uncertain genetic regulatory network s with interval time-varying delays. Neurocomputing 72:3263–3276CrossRef
Metadaten
Titel
Robust stability analysis of uncertain genetic regulatory networks with mixed time delays
verfasst von
Xiaowei Zhang
Ruoxia Li
Chao Han
Rong Yao
Publikationsdatum
01.12.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
International Journal of Machine Learning and Cybernetics / Ausgabe 6/2016
Print ISSN: 1868-8071
Elektronische ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-014-0306-5

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