带有Le’vy噪声的中立型神经网络的反馈控制
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摘要
针对延迟中立型神经网络系统,研究了反馈控制问题.考虑了带有Le’vy噪声的中立型神经网络,建立了一个适当的Lyapunov函数.通过Lyapunov分析方法并使用一般性It8公式和LMI技术,得到了闭环系统的均方稳定性准则.最后,通过数值例子证实本文方法的有效性.
The feedback control problem in delayed neutral-type neural networks with Le'vy noise is addressed in this paper.Delay is considered as constant in this study. An appropriate Lyapunov function is used to analyze the mean square stability of the closed-loop system.Using the Lyapunov method,the general It8 formula,and the linear matrix inequality technique,the sufficient condition to guarantee stability in mean square sense for the closed-loop system is derived.Finally,a numerical example is given to illustrate the effectiveness of the obtained results.
The feedback control problem in delayed neutral-type neural networks with Le'vy noise is addressed in this paper.Delay is considered as constant in this study. An appropriate Lyapunov function is used to analyze the mean square stability of the closed-loop system.Using the Lyapunov method,the general It8 formula,and the linear matrix inequality technique,the sufficient condition to guarantee stability in mean square sense for the closed-loop system is derived.Finally,a numerical example is given to illustrate the effectiveness of the obtained results.
引文
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[2]Kiumarsi B,Lewis F L,Levine D S.Optimal control of nonlinear discrete time-varying systems using a new neural network approximation structure[J].Neurocomputing,2015,156:157-165
[3]Bai C.Existence and stability of almost periodic solutions of Hopfield neural networks with continuously distributed delays[J].Nonlinear Analysis:Theory,Methods&Applications,2009,71(11):5850-5859
[4]Park J H,Kwon O M.Synchronization of neural networks of neutral type with stochastic perturbation[J].Modern Physics Letters B,2009,23(14):1743-1751
[5]Zheng C D,Wei Z,Wang Z.Robustly adaptive synchronization for stochastic Markovian neural networks of neutral type with mixed mode-dependent delays[J].Neurocomputing,2016,171:1254-1264
[6]Patel A,Kosko B.Stochastic resonance in continuous and spiking neuron models with Le’vy noise[J].IEEETransactions on Neural Networks,2008,19(12):1993-2008
[7]Mao W,Mao X.On the approximations of solutions to neutral SDEs with Markovian switching and jumps under non-Lipschitz conditions[J].Applied Mathematics and Computation,2014,230:104-119