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2019 | OriginalPaper | Buchkapitel

5. Stability Analysis for Delayed Stochastic GRNs

verfasst von : Xian Zhang, Yantao Wang, Ligang Wu

Erschienen in: Analysis and Design of Delayed Genetic Regulatory Networks

Verlag: Springer International Publishing

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Abstract

In this chapter we will establish a robust asymptotic mean square stability criterion for delayed stochastic GRNs with parameter uncertainties.

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Vorheriges Kapitel Stability Analysis for Delayed Switching GRNs
Nächstes Kapitel Stability Analysis for Delayed Reaction-Diffusion GRNs
Literatur
1.
Balasubramaniam, P., Rakkiyappan, R., Krishnasamy, R.: Stochastic stability of Markovian jumping uncertain stochastic genetic regulatory networks with interval time-varying delays. Math. Biosci. 226(2), 97–108 (2010)MathSciNetCrossRef
2.
Balasubramaniam, P., Sathy, R.: Robust asymptotic stability of fuzzy Markovian jumping genetic regulatory networks with time-varying delays by delay decomposition approach. Commun. Nonlinear Sci. Numer. Simul. 16(2), 928–939 (2011)MathSciNetCrossRef
3.
Balasubramaniam, P., Sathy, R., Rakkiyappan, R.: A delay decomposition approach to fuzzy Markovian jumping genetic regulatory networks with time-varying delays. Fuzzy Sets Syst. 164(1), 82–100 (2011)MathSciNetCrossRef
4.
Feng, W., Yang, S.X., Wu, H.: On delayed uncertain genetic regulatory networks: robust stability analysis. Int. J. Comput. Math. 88(12), 2448–2463 (2011)MathSciNetCrossRef
5.
Gomez, M.M., Sadeghpour, M., Bennett, M.R., Orosz, G., Murray, R.M.: Stability of systems with stochastic delays and applications to genetic regulatory networks. SIAM J. Appl. Dyn. Syst. 15(4), 1844–1873 (2016)MathSciNetCrossRef
6.
He, G., Fang, J.A., Wu, X.: Robust stability of Markovian jumping genetic regulatory networks with mode-dependent delays. Math. Prob. Eng. 2012 (Article ID 504378, 2012)
7.
He, Y., Fu, L.Y., Zeng, J., Wu, M.: Stability of genetic regulatory networks with interval time-varying delays and stochastic perturbation. Asian J. Control 13(5), 625–634 (2011)MathSciNetCrossRef
8.
Krishnasamy, R., Balasubramaniam, P.: Stochastic stability analysis for switched genetic regulatory networks with interal time-varying delays based on average dwell time approach. Stoch. Anal. Appl. 32(6), 1046–1066 (2014)MathSciNetCrossRef
9.
Lakshmanan, S., Rihan, F.A., Rakkiyappan, R., Park, J.H.: Stability analysis of the differential genetic regulatory networks model with time-varying delays and Markovian jumping parameters. Nonlinear Anal.: Hybrid Syst. 14, 1–15 (2014)MathSciNetMATH
10.
Li, C., Chen, L., Aihara, K.: Stochastic stability of genetic networks with disturbance attenuation. IEEE Trans. Circuits Syst. Video Technol. 54(10), 892–896 (2007)CrossRef
11.
Li, J., Chesi, G., Hung, Y.S.: Robust stochastic stability of genetic regulatory networks with time delays and parametric uncertainties. Asian J. Control 13(5), 635–644 (2011)MathSciNetCrossRef
12.
Li, J., Hu, M., Cao, J., Yang, Y., Jin, Y.: Stability of uncertain impulsive stochastic genetic regulatory networks with time-varying delay in the leakage term. Abstr. Appl. Anal. 2014 (Article ID 706720, 2014)MathSciNetMATH
13.
Li, X.D., Rakkiyappan, R.: Delay-dependent global asymptotic stability criteria for stochastic genetic regulatory networks with Markovian jumping parameters. Appl. Math. Modell. 36(4), 1718–1730 (2012)MathSciNetCrossRef
14.
Li, X.D., Rakkiyappan, R., Pradeep, C.: Robust \(\mu \)-stability analysis of Markovian switching uncertain stochastic genetic regulatory networks with unbounded time-varying delays. Commun. Nonlinear Sci. Numer. Simul. 17(10), 3894–3905 (2012)MathSciNetCrossRef
15.
Li, Y.R., Zhu, Y.Z., Zeng, N.Y., Du, M.: Stability analysis of standard genetic regulatory networks with time-varying delays and stochastic perturbations. Neurocomputing 74(17), 3235–3241 (2011)CrossRef
16.
Li, Z., Chen, K.: Exponential stability of stochastic genetic regulatory networks with interval uncertainties and multiple delays. Arab. J. Sci. Eng. 39(8), 6507–6520 (2014)MathSciNetCrossRef
17.
Liu, J., Xue, D.: Asymtotic stability of Markovian jumping genetic regulatory networks with random delays. Chin. J. Electron. 22(2), 263–268 (2013)
18.
Lou, X., Ye, Q., Cui, B.: Exponential stability of genetic regulatory networks with random delays. Neurocomputing 73, 759–769 (2010)CrossRef
19.
Ma, C., Zeng, Q., Zhang, L., Zhu, Y.: Passivity and passification for Markov jump genetic regulatory networks with time-varying delays. Neurocomputing 136, 321–326 (2014)CrossRef
20.
Meng, Q., Jiang, H.J.: Robust stochastic stability analysis of Markovian switching genetic regulatory networks with discrete and distributed delays. Neurocomputing 74(1), 362–368 (2010)CrossRef
21.
Pan, W., Wang, Z., Hu, J.: Robust stability of delayed genetic regulatory networks with different sources of uncertainties. Asian J. Control 13(5), 645–654 (2011)MathSciNetCrossRef
22.
Rakkiyappan, R., Balasubramaniam, P.: Delay-probability-distribution-dependent stability of uncertain stochastic genetic regulatory networks with mixed time-varying delays: an LMI approach. Nonlinear Anal.: Hybrid Syst. 4(3), 600–607 (2010)MathSciNetMATH
23.
Rakkiyappan, R., Lakshmanan, S., Balasubramaniam, P.: Delay-probability-distribution-dependent stability of uncertain stochastic genetic regulatory networks with time-varying delays. Circuits Syst. Signal Process. 32, 1147–1177 (2013)MathSciNetCrossRef
24.
Ratnavelu, K., Kalpana, M., Balasubramaniam, P.: Asymtotic stability of Markovian switching genetic regulatory networks with leakage and mode-dependent time delays. J. Franklin Inst. 353(7), 1615–1638 (2016)MathSciNetCrossRef
25.
Sakthivel, R., Raja, R., Anthoni, S.M.: Asymptotic stability of delayed stochastic genetic regulatory networks with impulses. Phys. Scr. 82(5) (Article ID 055009, 2010)CrossRef
26.
Salimpour, A., Majd, V.J., Sojoodi, M.: Comment on: robust stability of stochastic genetic regulatory networks with discrete and distributed delays. Symp. (Int.) Combust. 15(4), 769–770 (2010)CrossRef
27.
Wang, G., Cao, J.: Robust exponential stability analysis for stochastic genetic networks with uncertain parameters. Commun. Nonlinear Sci. Numer. Simul. 14(8), 3369–3378 (2009)MathSciNetCrossRef
28.
Wang, W., Zhong, S.: Stochastic stability analysis of uncertain genetic regulatory networks with mixed time-varying delays. Neurocomputing 82, 143–156 (2012)CrossRef
29.
30.
Wang, W., Zhong, S., Nguang, S.K., Liu, F.: Robust deley-probability-distribution-dependent stability of uncertain genetic regulatory networks with time-varying delays. Neurocomputing 119(SI), 153–164 (2013)CrossRef
31.
Wang, W.Q., Nguang, S.K., Zhong, S.M., Liu, F.: Robust stability analysis of stochastic delayed genetic regulatory networks with polytopic uncertainties and linear fractional parametric uncertainties. Commun. Nonlinear Sci. Numer. Simul. 19(5), 1569–1581 (2014)MathSciNetCrossRef
32.
Wang, Y., Cao, J., Li, L.: Global robust power-rate stability of delayed genetic regulatory networks with noise perturbations. Cogn. Neurodyn. 4(1), 81–90 (2010)CrossRef
33.
Wang, Y., Wang, Z., Liang, J.: On robust stability of stochastic genetic regulatory networks with time delays: a delay fractioning approach. IEEE Trans. Syst. Man Cybern. Part B: Cybern. 40(3), 729–740 (2010)CrossRef
34.
Wang, Y.T., Yu, A.H., Zhang, X.: Robust stability of stochastic genetic regulatory networks with time-varying delays: a delay fractioning approach. Neural Comput. Appl. 23(5), 1217–1227 (2013)CrossRef
35.
Wang, Z., Liao, X., Guo, S., Wu, H.: Mean square exponential stability of stochastic genetic regulatory networks with time-varying delays. Inf. Sci. 181(4), 792–811 (2011)MathSciNetCrossRef
36.
Wang, Z., Liao, X., Mao, J., Liu, G.: Robust stability of stochastic genetic regulatory networks with discrete and distributed delays. Symp. (Int.) Combust. 13(12), 1199–1208 (2009)CrossRef
37.
Wang, Z.X., Liu, G.D., Sun, Y.H., Wu, H.L.: Robust stability of stochastic delayed genetic regulatory networks. Cogn. Neurodyn. 3(3), 271–280 (2009)CrossRef
38.
Wu, H., Liao, X., Guo, S., Feng, W., Wang, Z.: Stochastic stability for uncertain genetic regulatory networks with interval time-varying delays. Neurocomputing 72(13–15), 3263–3276 (2009)CrossRef
39.
Yu, T.T., Wang, J., Zhang, X.: A less conservative stability criterion for delayed stochastic genetic regulatory networks. Math. Prob. Eng. 2014 (Article ID 768483, 11 pages, 2014)
40.
Zhang, B., Xu, S., Chu, Y., Zong, G.: Delay-dependent stability for Markovian genetic regulatory networks with time-varying delays. Asian J. Control 14(5), 1403–1406 (2012)MathSciNetCrossRef
41.
Zhang, D., Yu, L.: Passivity analysis for stochastic Markovian switching genetic regulatory networks with time-varying delays. Commun. Nonlinear Sci. Numer. Simul. 16(8), 2985–2992 (2011)MathSciNetCrossRef
42.
Zhang, W., Fang, J., Tang, Y.: Stochastic stability of Markovian jumping genetic regulatory networks with mixed time delays. Appl. Math. Comput. 217(17), 7210–7225 (2011)MathSciNetMATH
43.
Zhang, W., Tang, T., Fang, J.A., Wu, X.: Stochastic stability of genetic regulatory networks with a finite set of delay characterization. Chaos 22(2) (Article ID 023106, 2012)MathSciNetCrossRef
44.
Zhang, W.B., Fang, J.A., Tang, Y.: New robust stability analysis for genetic regulatory networks with random discrete delays and distributed delays. Neurocomputing 74(14–15), 2344–2360 (2011)CrossRef
45.
Zhang, W.B., Tang, Y., Wu, X.T., Fang, J.A.: Stochastic stability of switched genetic regulatory networks with time-varying delays. IEEE Trans. Nanobiosci. 13(3), 336–342 (2014)CrossRef
46.
Zhou, Q., Xu, S.Y., Chen, B., Li, H.Y., Chu, Y.M.: Stability analysis of delayed genetic regulatory networks with stochastic disturbances. Phys. Lett. A 373(41), 3715–3723 (2009)CrossRef
47.
Zhu, Y., Zhang, Q., Wei, Z., Zhang, L.: Robust stability analysis of Markov jump standard genetic regulatory networks with mixed time delays and uncertainties. Neurocomputing 110, 44–50 (2013)CrossRef
Metadaten
Titel
Stability Analysis for Delayed Stochastic GRNs
verfasst von
Xian Zhang
Yantao Wang
Ligang Wu
Copyright-Jahr
2019
Buch
Analysis and Design of Delayed Genetic Regulatory Networks

Print ISBN: 978-3-030-17097-4

Electronic ISBN: 978-3-030-17098-1

Copyright-Jahr: 2019

DOI
https://doi.org/10.1007/978-3-030-17098-1_5

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