On anti-periodic solutions for neutral shunting inhibitory cellular neural networks with time-varying delays and D operator

Abstract This paper deals with a class of neutral shunting inhibitory cellular neural networks with time-varying delays and D operator. Using the differential inequality theory and Lyapunov functional method, a set of sufficient conditions which ascertains that the existence and exponential stability of anti-periodic solutions of neutral shunting inhibitory cellular neural networks with time-varying delays and D operator are derived. Computer simulations are delineated to substantiate the correctness of our theoretical predictions. The obtained results of this paper are new and complement some earlier works.

[1]  Yongqing Yang,et al.  Existence and global exponential stability of anti-periodic solutions for competitive neural networks with delays in the leakage terms on time scales , 2014, Neurocomputing.

[2]  Zhipeng Qiu,et al.  Anti-periodic solutions for BAM neural networks with time delays , 2013, Appl. Math. Comput..

[3]  Haijun Jiang,et al.  The existence and stability of the anti-periodic solution for delayed Cohen-Grossberg neural networks with impulsive effects , 2015, Neurocomputing.

[4]  Changjin Xu,et al.  On almost automorphic solutions for cellular neural networks with time-varying delays in leakage terms on time scales , 2015, J. Intell. Fuzzy Syst..

[5]  Wentao Wang,et al.  Anti-periodic solutions for shunting inhibitory cellular neural networks with time-varying delays in leakage terms , 2013, Neurocomputing.

[6]  Jack K. Hale,et al.  Coincidence degree and periodic solutions of neutral equations , 1974 .

[7]  Zhenjiang Zhao,et al.  Global exponential stability of complex-valued neural networks with both time-varying delays and impulsive effects , 2016, Neural Networks.

[8]  Zhengqiu Zhang,et al.  LMI-based global exponential stability of equilibrium point for neutral delayed BAM neural networks with delays in leakage terms via new inequality technique , 2016, Neurocomputing.

[9]  Bingwen Liu,et al.  New convergence behavior of solutions to shunting inhibitory cellular neural networks with unbounded delays and time-varying coefficients , 2009 .

[10]  Mustafa Sayli,et al.  Periodic solution for state-dependent impulsive shunting inhibitory CNNs with time-varying delays , 2015, Neural Networks.

[11]  Changjin Xu,et al.  On Antiperiodic Solutions for Cohen-Grossberg Shunting Inhibitory Neural Networks with Time-Varying Delays and Impulses , 2014, Neural Computation.

[12]  Qiyuan Zhou.  Pseudo Almost Periodic Solutions for SICNNs with Leakage Delays and Complex Deviating Arguments , 2015, Neural Processing Letters.

[13]  Marat Akhmet,et al.  Impulsive SICNNs with chaotic postsynaptic currents , 2016 .

[14]  Li Yang,et al.  Anti-periodic solution for impulsive BAM neural networks with time-varying leakage delays on time scales , 2015, Neurocomputing.

[15]  Luogen Yao,et al.  Global Exponential Convergence of Neutral Type Shunting Inhibitory Cellular Neural Networks with D Operator , 2017, Neural Processing Letters.

[16]  Jinde Cao,et al.  Anti-periodic solution for delayed cellular neural networks with impulsive effects , 2011 .

[17]  Changjin Xu,et al.  Existence and p-exponential stability of periodic solution for stochastic shunting inhibitory cellular neural networks with time-varying delays , 2016, Int. J. Comput. Intell. Syst..

[18]  Zhiwen Long,et al.  New results on anti-periodic solutions for SICNNs with oscillating coefficients in leakage terms , 2016, Neurocomputing.

[19]  Li Yang,et al.  Almost automorphic solution for neutral type high-order Hopfield neural networks with delays in leakage terms on time scales , 2014, Appl. Math. Comput..

[20]  Changjin Xu,et al.  Existence and Exponential Stability of Periodic Solution to Fuzzy Cellular Neural Networks with Distributed Delays , 2016, Int. J. Fuzzy Syst..

[21]  Rajcho Ilarionov,et al.  On global exponential stability for impulsive cellular neural networks with time-varying delays , 2010, Comput. Math. Appl..

[22]  Mustafa Sayli,et al.  Anti-periodic solutions for state-dependent impulsive recurrent neural networks with time-varying and continuously distributed delays , 2017, Ann. Oper. Res..

[23]  Li Li,et al.  A shunting inhibitory cellular neural network with continuously distributed delays of neutral type , 2012 .

[24]  Changjin Xu,et al.  Existence and stability of pseudo almost periodic solutions for shunting inhibitory cellular neural networks with neutral type delays and time-varying leakage delays , 2014, Network.

[25]  Lijuan Wang,et al.  Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activaty functions , 2009 .

[26]  Changjin Xu,et al.  Anti-periodic solutions of Cohen-Grossberg shunting inhibitory cellular neural networks on time scales , 2016 .

[27]  Yongkun Li,et al.  Anti-periodic solutions to impulsive shunting inhibitory cellular neural networks with distributed delays on time scales , 2011 .

[28]  Changjin Xu,et al.  Existence and global exponential stability of anti-periodic solutions for BAM neural networks with inertial term and delay , 2015, Neurocomputing.

[29]  Bahram Nabet,et al.  Analysis and analog implementation of directionally sensitive shunting inhibitory neural networks , 1991, Defense, Security, and Sensing.

[30]  Mehmet Onur Fen,et al.  SICNNs with Li-Yorke chaotic outputs on a time scale , 2015, Neurocomputing.