A study on ⟨(Q,S,R)-γ⟩-dissipative synchronisation of coupled reaction–diffusion neural networks with time-varying delays

References

• Fang, M. (2015). Synchronization for complex dynamical networks with time delay and discrete-time information. Applied Mathematics and Computation, 258, 1–11.
   Web of Science ®Google Scholar
• Feng, Z., & Lam, J. (2011). Stability and dissipativity analysis of distributed delay cellular neural networks. IEEE Transactions on Neural Networks, 22, 976–981.
   PubMed Web of Science ®Google Scholar
• Feng, Z., Lam, J., & Gao, H. (2011). α-Dissipativity analysis of singular time-delay systems. Automatica, 47, 2548–2552.
   Web of Science ®Google Scholar
• Gao, X., Lian, L., & Qi, W. (2017). Finite-time dissipativity analysis and design for stochastic Markovian jump systems with generally uncertain transition rates and time-varying delay. Transactions of the Institute of Measurement and Control, 39(6), 807–819.
   Web of Science ®Google Scholar
• Gong, D., Zhang, H., Wang, Z., & Liu, J. (2012). Synchronization analysis for complex networks with coupling delay based on T-S fuzzy theory. Applied Mathematical Modelling, 36, 6215–6224.
   Web of Science ®Google Scholar
• Guo, W., Austin, F., & Chen, S. (2010). Global synchronization of nonlinearly coupled complex networks with non-delayed coupling. Communications in Nonlinear Science and Numerical Simulation, 15, 1631–1639.
   Web of Science ®Google Scholar
• He, W., & Cao, J. (2010). Exponential synchronization of hybrid coupled networks with delayed coupling. IEEE Transactions on Neural Networks, 21, 571–583.
   PubMed Web of Science ®Google Scholar
• Ji, D. H., Park, J. H., Yoo, W. J., Won, S. C., & Lee, S. M. (2010). Synchronization criterion for Lur'e type complex dynamical networks with time-varying delay. Physics Letters A, 374, 1218–1227.
   Web of Science ®Google Scholar
• Kao, Y. G., Guo, J. F., Wang, C. H., & Sun, X. Q. (2012). Delay-dependent robust exponential stability of Markovian jumping reaction–diffusion Cohen–Grossberg neural networks with mixed delays. Journal of the Franklin Institute, 349, 1972–1988.
   Web of Science ®Google Scholar
• Karimi, H. R. (2012). A sliding mode approach to H∞ synchronization of master-slave time-delay systems with Markovian jumping parameters and nonlinear uncertainties. Journal of the Franklin Institute, 349, 1480–1496.
   Web of Science ®Google Scholar
• Karimi, H. R., & Gao, H. (2010). New delay-dependent exponential H∞ synchronization for uncertain neural networks with mixed time delays. IEEE Transactions on Systems, Man, and Cybernetics, Part B, 40, 173–185.
   PubMed Web of Science ®Google Scholar
• Karimi, H. R., & Maass, P. (2009). Delay-range-dependent exponential H∞ synchronization of a class of delayed neural networks. Chaos, Solitons & Fractals, 41, 1125–1135.
   Web of Science ®Google Scholar
• Lee, S. H., Kapila, V., Porfiri, M., & Panda, A. (2010). Master–slave synchronization of continuously and intermittently coupled sampled-data chaotic oscillators. Communications in Nonlinear Science and Numerical Simulation, 12, 4100–4113.
   Web of Science ®Google Scholar
• Lee, T. H., Park, J. H., Jung, H. Y., Lee, S. M., & Kwon, O. M. (2015). Synchronization of a delayed complex dynamical network with free coupling matrix. Neurocomputing, 149, 1544–1551.
   Google Scholar
• Li, B. (2014). Finite-time synchronization for complex dynamical networks with hybrid coupling and time-varying delay. Nonlinear Dynamics, 76, 1603–1610.
   Web of Science ®Google Scholar
• Li, C., & Chen, G. (2004). Synchronization in general complex dynamical networks with coupling delays. Physica A, 343, 263–278.
   Web of Science ®Google Scholar
• Li, L., Ding, S. X., Qiu, J., & Yang, Y. (2016). Real-time fault detection approach for nonlinear systems and its asynchronous T–S fuzzy observer-based implementation. IEEE transactions on Cybernetics, 47, 283–294.
   PubMed Web of Science ®Google Scholar
• Li, L., Ding, S. X., Qiu, J., Yang, Y., & Zhang, Y. (2016). Weighted fuzzy observer-based fault detection approach for discrete-time nonlinear systems via piecewise-fuzzy Lyapunov functions. IEEE Transactions on Fuzzy Systems, 24, 1320–1333.
   Web of Science ®Google Scholar
• Li, H., & Yue, D. (2010). Synchronization of Markovian jumping stochastic complex networks with distributed time delays and probabilistic interval discrete time-varying delays. Journal of Physics A: Mathematical and Theoretical, 43, 105–101.
   Web of Science ®Google Scholar
• Liu, X., & Xi, H. (2014). Synchronization of neutral complex dynamical network with Markovian switching based on sampled-data controller. Neurocomputing, 139, 163–179.
   Web of Science ®Google Scholar
• Lu, J. G. (2008). Global exponential stability and periodicity of reaction diffusion delayed recurrent neural networks with Dirichlet boundary conditions. Chaos, Solitons & Fractals, 35, 116–125.
   Web of Science ®Google Scholar
• Nian, F., & Wang, X. (2010). Chaotic synchronization of hybrid state on complex networks. International Journal of Modern Physics C, 21, 457–469.
   Web of Science ®Google Scholar
• Park, M. J., Kwon, O. M., Park, J. H., Lee, S. M., & Cha, E. J. (2012). Synchronization criteria of fuzzy complex dynamical networks with interval time-varying delays. Applied Mathematics and Computation, 218, 11634–11647.
   Web of Science ®Google Scholar
• Qiu, J., Wei, Y., & Wu, L. (2017). A novel approach to reliable control of piecewise affine systems with actuator faults. IEEE Transactions on Circuits and Systems II: Express Briefs, 64, 957–961.
   Web of Science ®Google Scholar
• Rafique, M. A., Rehan, M., & Siddique, M. (2015). Adaptive mechanism for synchronization of chaotic oscillators with interval time-delays. Nonlinear Dynamics, 81, 495–509.
   Web of Science ®Google Scholar
• Rehan, M., Tufail, M., & Hong, K. S. (2016). Delay-range-dependent synchronization of drive and response systems under input delay and saturation. Chaos, Solitons & Fractals, 87, 197–207.
   Web of Science ®Google Scholar
• Serrano-Gotarredona, T., & Linares-Barranco, B. (2003). Log-domain implementation of complex dynamics reaction–diffusion neural networks. IEEE Transactions on Neural Networks, 14, 1337–1355.
   PubMed Web of Science ®Google Scholar
• Shen, J., & Cao, J. (2011). Finite-time synchronization of coupled neural networks via discontinuous controllers. Cognitive Neurodynamics, 5, 373–385.
   PubMed Web of Science ®Google Scholar
• Siddique, M., & Rehan, M. (2016). A concept of coupled chaotic synchronous observers for nonlinear and adaptive observers-based chaos synchronization. Nonlinear Dynamics, 84, 2251–2272.
   Web of Science ®Google Scholar
• Summers, T. H., Cortesi, F. L., & Lygeros, J. (2016). On submodularity and controllability in complex dynamical networks. IEEE Transactions on Control of Network Systems, 3, 91–101.
   Web of Science ®Google Scholar
• Sun, Y. Z., Li, W., & Zhao, D. H. (2017). Synchronization transition of time delayed complex dynamical networks with discontinuous coupling. Communications in Theoretical Physics, 67, 54.
   Web of Science ®Google Scholar
• Syed Ali, M., Yogambigai, J., & Cao, J. (2017). Synchronization of master-slave markovian switching complex dynamical networks with time-varying delays in nonlinear function via sliding mode control. Acta Mathematica Sinica, 37, 368–384.
   Google Scholar
• Tang, J., Zou, C., & Zhao, L. (2016). A general complex dynamical network with time-varying delays and its novel controlled synchronization criteria. IEEE Systems Journal, 10, 46–52.
   Web of Science ®Google Scholar
• Wang, J-An. (2014). New synchronization stability criteria for general complex dynamical networks with interval time-varying delays. Neural Computing and Applications, 351, 4949–4959.
   Google Scholar
• Wang, A., Dong, T., & Liao, X. (2016). Event-triggered synchronization strategy for complex dynamical networks with the Markovian switching topologies. Neural Networks, 74, 52–57.
   PubMed Web of Science ®Google Scholar
• Wang, C., Kao, Y., & Yang, G. (2012). Exponential stability of impulsive stochastic fuzzy reaction–diffusion Cohen–Grossberg neural networks with mixed delays. Neurocomputing, 89, 55–63.
   Web of Science ®Google Scholar
• Wang, T., Qiu, J., Fu, S., & Ji, W. (2017). Distributed fuzzy H∞ filtering for nonlinear multirate networked double-layer industrial processes. IEEE Transactions on Industrial Electronics, 64, 5203–5211.
   Web of Science ®Google Scholar
• Wang, T., Qiu, J., Gao, H., & Wang, C. (2017). Network-based fuzzy control for nonlinear industrial processes with predictive compensation strategy. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 47, 2137–2147.
   Web of Science ®Google Scholar
• Wang, B., Shi, P., Karimi, H. R., & Wang, J. (2012). H∞ robust controller design for the synchronization of master–slave chaotic systems with disturbance input. Modeling, Identification and Control, 33, 27–34.
   Web of Science ®Google Scholar
• Wang, K., Teng, Z., & Jiang, H. (2012). Adaptive synchronization in an array of linearly coupled neural networks with reaction–diffusion terms and time delays. Communications in Nonlinear Science and Numerical Simulation, 17, 3866–3875.
   Web of Science ®Google Scholar
• Wang, L., & Wang, Q. (2011). Synchronization in complex networks with switching topology. Physics Letters A, 375, 3070–3074.
   Web of Science ®Google Scholar
• Wang, M., Wang, X., & Liu, Z. (2010). A new complex network model with hierarchical and modular structures. Chinese Journal of Physics, 48, 805–813.
   Web of Science ®Google Scholar
• Wang, J. L., Wu, H. N., Huang, T., & Ren, S. Y. (2016). Pinning control strategies for synchronization of linearly coupled neural networks with reaction–diffusion terms. IEEE Transactions on Neural Networks and Learning Systems, 27, 749–761.
   PubMed Web of Science ®Google Scholar
• Wang, G., Yin, Q., Shen, Y., & Jiang, F. (2013). H∞ synchronization of directed complex dynamical networks with mixed time-delays and switching structures. Circuits, Systems, and Signal Processing, 32, 1575–1593.
   Web of Science ®Google Scholar
• Wei, Y., Qiu, J., & Karimi, H. R. (2017). Reliable output feedback control of discrete-time fuzzy affine systems with actuator faults. IEEE Transactions on Circuits and Systems I: Regular Papers, 64, 170–181.
   Web of Science ®Google Scholar
• Wei, Y., Qiu, J., Karimi, H. R., & Wang, M. (2014). New results on H∞ dynamic output feedback control for Markovian jump systems with time-varying delay and defective mode information. Optimal Control Applications and Methods, 35, 656–675.
   Web of Science ®Google Scholar
• Wei, Y., Qiu, J., Shi, P., & Lam, H. K. (2017). New results on H∞ dynamic output feedback control for Markovian jump systems with time-varying delay and defective mode information. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 47, 2034–2047.
   Web of Science ®Google Scholar
• Wei, Y., Wang, M., & Qiu, J. (2013). New approach to delay-dependent H∞ filtering for discrete-time Markovian jump systems with time-varying delay and incomplete transition descriptions. IET Control Theory & Applications, 7, 684–696.
   Web of Science ®Google Scholar
• Wu, C. W. (2002). Synchronization in small-word systems. Physical Review Letters, 89, 54–101.
   Web of Science ®Google Scholar
• Wu, S. L., Li, K. L., & Huang, T. Z. (2011). Global dissipativity of delayed neural networks with impulses. Journal of the Franklin Institute, 348, 2270–2291.
   Web of Science ®Google Scholar
• Wu, L., Zheng, W. X., & Gao, H. (2013). Dissipativity-based sliding mode control of switched stochastic systems. IEEE Transactions on Automatic Control, 58, 785–793.
   Web of Science ®Google Scholar
• Xu, B.-B., Huang, Y.-L., Wang, J.-L., Wei, P.-C., & Ren, S.-Y. (2016). Passivity of linearly coupled reaction–diffusion neural networks with switching topology and time-varying delay. Neurocomputing, 182, 274–283.
   Web of Science ®Google Scholar
• Xu, Y., Zhou, W., Fang, J., Xie, C., & Tong, D. (2016). Finite-time synchronization of the complex dynamical network with non-derivative and derivative coupling. Neurocomputing, 173, 1356–1361.
   Web of Science ®Google Scholar
• Yang, X., Cao, J., & Lu, J. (2011). Synchronization of delayed complex dynamical networks with impulsive and stochastic effects. Nonlinear Analysis: Real World Applications, 12, 2252–2266.
   Web of Science ®Google Scholar
• Zeng, J., & Cao, J. (2011). Synchronization in singular hybrid complex networks with delayed coupling. International Journal of Systems, Control and Communications, 3, 144–157.
   Google Scholar
• Zhou, J., Wu, Q., & Xiang, L. (2012). Impulsive pinning complex dynamical networks and applications to firing neuronal synchronization. Nonlinear Dynamics and Systems Theory, 69, 1393–1403.
   Web of Science ®Google Scholar