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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 9
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Articles

Finite-time lag synchronization of coupled reaction–diffusion systems with time-varying delay via periodically intermittent control

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Pages 1660-1676 | Received 03 Dec 2017, Accepted 29 Jan 2018, Published online: 08 Feb 2018

References

  • Zhang C , Li W , Wang K . Exponential synchronization of stochastic coupled oscillators networks with delays. Appl Anal. 2017;96:1058–1075.
  • Lia P , Kim Z , Kurths J , et al . Development of structural correlations and synchronization from adaptive rewiring in networks of Kuramoto oscillators. Chaos. 2017;27:073115.
  • Fan D , Wang Q . Synchronization and bursting transition of the coupled Hindmarsh-Rose systems with asymmetrical time-delays. Sci China-Technol Sci. 2017;60:1019–1031.
  • Guo Y , Ding X , Li Y . On input-to-state stability for stochastic multi-group models with multi-dispersal. Appl Anal. 2016;1–18.
  • Olga G , Russell J , Igor B , et al . Windows of opportunity for synchronization in stochastically coupled maps. Physica D. 2017;340:1–13.
  • Wang X , Chen G . Synchronization in scale-free dynamical networks: robustness and fragility. IEEE Trans Circ Syst. 2002;49:54–62.
  • Wang X , He Y . Projective synchronization of fractional order chaotic system based on linear separation. Phys Lett. A. 2008;372:435–441.
  • Chen L , Lu J . Cluster synchronization in a complex dynamical network with two nonidentical clusters. J Syst Sci Compl. 2008;21:20–33.
  • Zhao M , Zhang H , Wang Z , et al . Observer-based lag synchronization between two different complex networks. Commun Nonlinear Sci Numer Simul. 2014;19:2048–2059.
  • Zhang C , Li W , Wang K . Graph-theoretic method on exponential synchronization of stochastic coupled networks with Markovian switching. Nonlinear Anal-Hybrid Syst. 2015;15:37–51.
  • Yang X , Yang Z , Nie X . Exponential synchronization of discontinuous chaotic systems via delayed impulsive control and its application to secure communication. Commun Nonlinear Sci Numer Simul. 2014;19:1529–1543.
  • Wang X , Wang M . Dynamic analysis of the fractional-order Liu system and its synchronization. Chaos. 2007;17:033106.
  • Hu J , Zeng C . Adaptive exponential synchronization of complex-valued Cohen-Grossberg neural networks with known and unknown parameters. Neural Netw. 2017;86:90–101.
  • Wang X , Liu X , She K , et al . Finite-time lag synchronization of master-slave complex dynamical networks with unknown signal propagation delays. J Frankl Inst -Eng Appl Math. 2017;354:4913–4929.
  • Chen Y , Wu X , Lin Q . Global lagged finite-time synchronization of two chaotic lur’e systems subject to time delay. Int J Bifurcation Chaos. 2015;25:1550161.
  • Zhang D , Mei J , Miao P . Global finite-time synchronization of different dimensional chaotic systems. Appl Math Model. 2017;48:303–315.
  • Liu M , Bai C , Jin Y . Population dynamical behavior of a two-predator one-prey stochastic model with time delay. Discrete Contin Dyn Syst. 2017;37:2513–2538.
  • Liu M , Fan M . Stability in distribution of a three-species stochastic cascade predator-prey system with time delays. IMA J Appl Math. 2017;82:396–423.
  • Zhang H , Wang X , Lin X . Topology identification and module-phase synchronization of neural network with time delay. IEEE Trans Syst Man Cybern -Syst. 2017;47(6):885–892.
  • Guo Y , Su H , Ding X . Global stochastic stability analysis for stochastic neural networks with infinite delay and Markovian switching. Appl Math Comput. 2014;245:53–65.
  • Gao S , Zhou H , Wu B . Periodic solutions for neutral coupled oscillators network with feedback and time-varying delay. Appl Anal. 2017;96:1983–2001.
  • Wang Y , Zhang H , Wang X , et al . Networked synchronization control of coupled dynamic networks With time-varying delay. IEEE Trans Syst Man Cybern Part B-Cybern. 2010;40(6):1468–1479.
  • Lin W , He Y , Zhang C , Wu M . Stability analysis of neural networks with time-varying delay: enhanced stability criteria and conservatism comparisons. Commun Nonlinear Sci Numer Simul. 2018;54:118–135.
  • Li L , Shen M , Zhang G . H-infinity control of Markov jump systems with time-varying delay and incomplete transition probabilities. Appl Math Model. 2017;301:95–106.
  • Cai Y , Yan S , Wang H , et al . Spatiotemporal dynamics in a reaction-diffusion epidemic model with a time-delay in transmission. Int J Bifurcation Chaos. 2015;25(8):1550099.
  • Yan S , Lian X , Wang W , et al . Spatiotemporal dynamics in a delayed diffusive predator model. Appl Math Comput. 2013;224:524–534.
  • Song Y , Zhang T , Peng Y . Turing-Hopf bifurcation in the reaction-diffusion equations and its applications. Commun Nonlinear Sci Numer Simul. 2016;33:229–258.
  • Li W , Zhang X , Zhang C . A new method for exponential stability of coupled reaction-diffusion systems with mixed delays: combining razumikhin method with graph theory. J Frankl Inst -Eng Appl Math. 2015;352:1169–1191.
  • Liang J , Cao J . Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays. Phys Lett A. 2003;314:434–442.
  • Lin D , Wang X . Observer-based decentralized fuzzy neural sliding mode control for interconnected unknown chaotic systems via network structure adaptation. Fuzzy Sets Syst. 2010;161:2066–2080.
  • Wang X , Song J . Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control. Commun Nonlinear Sci Numer. 2009;14:3351–3357.
  • Huang T , Li C , Yu W , et al . Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback. Nonlinearity. 2009;22(3):569.
  • Li C , Feng G , Liao X . Stabilization of nonlinear systems via periodically intermittent control. IEEE Trans Circuits Syst II-Express. 2007;54(11):1019–1023.
  • Huang J , Li C , Han Q . Quasi-synchronization of chaotic neural networks with parameter mismatch by periodically intermittent control, Wri World Congress on Computer Science and Information Engineering. IEEE Comput Soc. 2009;485–489.
  • Yi L , Wang X . Synchronization in complex networks with non-delay and delay couplings via intermittent control with two switched periods. Physica A. 2014;395:434–444.
  • Wang J , Yang Z , Huang T , et al . Synchronization criteria in complex dynamical networks with nonsymmetric coupling and multiple time-varying delays. II Appl Anal. 2012;91:923–935.
  • Lu J , Ding C , Lou J , et al . Outer synchronization of partially coupled dynamical networks via pinning impulsive controllers. J Frankl Inst -Eng Appl Math. 2015;352:5024–5041.
  • DeLellis P . M. diBernardo, F. Garofalo, Novel decentralized adaptive strategies for the synchronization of complex networks. Automatica. 2009;45:1312–1318.
  • Li MY , Shuai Z . Global-stability problem for coupled systems of differential equations on networks. J Differ Equ. 2010;248:1–20.
  • Liu Y , Li W , Feng J . Graph-theoretical method to the existence of stationary distribution of stochastic coupled systems. J Dyn Differ Equ. 1–19. DOI:10.1007/s10884-016-9566-y
  • Su H , Wang P , Ding X . Stability analysis for discrete-time coupled systems with multi-diffusion by graph-theoretic approach and its application. Discrete Contin Dyn Syst-Ser B. 2015;21:253–269.
  • Wu Y , Li W , Feng J . Stabilisation of stochastic coupled systems viafeedback control based on discrete-time stateobservations. Int J Syst Sci. 2017;48:2850–2859.
  • Wang P , Hong Y , Su H . Asymptotic stability in probability for discrete-time stochastic coupled systems on networks with multiple dispersal. Int J Robust Nonlinear Control. 2018;28(4):1199–1217. DOI:10.1002/rnc.3927
  • Wu Y , Chen B , Li W . Synchronization of stochastic coupled systems via feedback control based on discrete-time state observations. Nonlinear Anal-Hybrid Syst. 2017;26:68–85.
  • Tang Y . Terminal sliding mode control for rigid robots. Automatica. 1998;34:51–56.
  • Mei J , Jiang M , Wang X , et al . Finite-time synchronization of drive-response systems via periodically intermittent adaptive control. J Frankl Inst-Eng Appl Math. 2014;351:2691–2710.
  • Lu J , Lu L . Global exponential stability and periodicity of reaction-diffusion recurrent neural networks with distributed delays and Dirichlet boundary conditions. Chaos Solitons Fractals. 2009;39:1538–1549.
  • Jing T , Chen F . Finite-time lag synchronization of delayed neural networks via periodically intermittent control. Complexity. 2016;21:211–219.

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