Abstract
In this paper, the exponential synchronization control is considered for neural networks with time-delays and Markovian jumping parameters. The jumping parameters are modeled as continuous-time finite-state Markov chain. By resorting to the Lyapunov functional method, a linear matrix inequality (LMI) approach is developed to derive the synchronization required. Simulations with Matlab verify the effectiveness of the proposes criteria.
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References
S. Arik, Stability analysis of delayed neural networks. IEEE Trans Circuits Syst-I 47, 1089–1092 (2000)
Z. Wu, H. Su, J. Chu, W. Zhou, Improved result on stability analysis of discrete stochastic neural networks with time delay. Phys. Lett. A 373(17), 1546–1552 (2009)
Z. Wu, P. Shi, H. Su, J. Chu, Stochastic synchronization of Markovian jump neural networks with time-varying delay using sampled-data. IEEE Trans. Cybern. 43(6), 1796–1806 (2013)
W. Zhou, D. Tong, Y. Gao, C. Ji, H. Su, Mode and delay-dependent adaptive exponential synchronization in pth moment for stochastic delayed neural networks with Markovian switching. IEEE Trans. Neural Netw. Learn. Syst. 23(4), 662–668 (2012)
J. Cao, J. Wang, Global exponential stability and periodicity of recurrent neural networks with time delays. IEEE Trans. Circuits Syst. I 52(5), 920–931 (2005)
Y. Sun, W. Zhou, Exponential stability of stochastic neural networks with time-variant mixed time-delays and uncertainty, in 9th IEEE Conference on Industrial Electronics and Applications (ICIEA) (2014)
Z. Wang, Y. Liu, X. Liu, On global asymptotic stability of neural networks with discrete and distributed delays. Phys. Lett. A 345(4–6), 299–308 (2005)
S. Ma, W. Zhou, S. Luo, R. Chen, Projective synchronization control of delayed recurrent neural networks with Markovian jumping parameters, in 8th International Conference on Computational Intelligence and Security (2012)
W. Zhou, Q. Zhu, P. Shi, H. Su, J. Fang, L. Zhou, Adaptive synchronization for neutral-type neural networks with stochastic perturbation and Markovian switching parameters. IEEE Trans. Cybern. 44(12), 2848–2860 (2014)
Z. Wu, P. Shi, H. Su, J. Chu, Exponential synchronization of neural networks with discrete and distributed delays under time-varying sampling. IEEE Trans. Neural Netw. Learn. Syst. 23(9), 1368–1376 (2012)
Z. Wu, P. Shi, H. Su, H. Chu, Delay-dependent stability analysis for switched neural networks with time-varying delay. IEEE Trans. Syst. Man Cybern. B Cybern. 41(6), 1522–1530 (2011)
Z. Wang, S. Lauria, J. Fang, Y. Liu, Exponential stability of uncertain stochastic neural networks with mixed time-delays. Chaos, Solitons Fractals 32, 62–72 (2007)
Y. Liu, Z. Wang, X. Liu, Global exponential stability of generalized recurrent neural networks with discrete and distributed delays. Neural Netw. 19(5), 667–675 (2006)
Y. Wang, L. Xie, C.E. de Souza, Robust control of a class of uncertain nonlinear systems. Syst. Control Lett. 19, 139–149 (1992)
Y. Jia, Robust control with decoupling performance for steering and traction of 4WS vehicles under velocity-varying motion. IEEE Trans. Control Syst. Technol. 8(3), 554–569 (2000)
Y. Jia, Alternative proofs for improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty: a predictive approach. IEEE Trans. Autom. Control 48(8), 1413–1416 (2003)
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Sun, Y. et al. (2019). Exponential Synchronization Control of Neural Networks with Time-Delays and Markovian Jumping Parameters. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2018 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering, vol 528. Springer, Singapore. https://doi.org/10.1007/978-981-13-2288-4_52
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DOI: https://doi.org/10.1007/978-981-13-2288-4_52
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