Finite-time synchronization of delayed fuzzy cellular neural networks with discontinuous activations

Abstract In this paper, we study the finite-time synchronization issue for delayed fuzzy cellular neural networks with discontinuous activations. Under the framework of differential inclusions, by utilizing the discontinuous state feedback control method and constructing Lyapunov functionals, new and useful finite-time synchronization criteria for the considered networks are established, which significantly generalize and improve recent works in literature. Finally, two examples with simulations are presented to show the effectiveness of the synchronization schemes.

[1]  Leon O. Chua,et al.  Fuzzy cellular neural networks: applications , 1996, 1996 Fourth IEEE International Workshop on Cellular Neural Networks and their Applications Proceedings (CNNA-96).

[2]  M. Forti,et al.  Global convergence of neural networks with discontinuous neuron activations , 2003 .

[3]  Zhidong Teng,et al.  Finite-time synchronization for memristor-based neural networks with time-varying delays , 2015, Neural Networks.

[4]  Xiaodi Li,et al.  Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations , 2011, J. Frankl. Inst..

[5]  Duccio Papini,et al.  Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain , 2005, IEEE Transactions on Neural Networks.

[6]  Ju H. Park,et al.  Finite-time synchronization control for uncertain Markov jump neural networks with input constraints , 2014, Nonlinear Dynamics.

[7]  Jinde Cao,et al.  Exponential Synchronization of Delayed Neural Networks With Discontinuous Activations , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[8]  M. Forti,et al.  Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations , 2006 .

[9]  R. Westervelt,et al.  Stability of analog neural networks with delay. , 1989, Physical review. A, General physics.

[10]  Jinde Cao,et al.  Finite-time synchronization of fractional-order memristor-based neural networks with time delays , 2016, Neural Networks.

[11]  Jinde Cao,et al.  Filippov systems and quasi-synchronization control for switched networks. , 2012, Chaos.

[12]  Jun Wang,et al.  Attractivity Analysis of Memristor-Based Cellular Neural Networks With Time-Varying Delays , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[13]  Jinde Cao,et al.  Nonsmooth finite-time stabilization of neural networks with discontinuous activations , 2014, Neural Networks.

[14]  Yongkun Li,et al.  Existence and global exponential stability of equilibrium for discrete-time fuzzy BAM neural networks with variable delays and impulses , 2013, Fuzzy Sets Syst..

[15]  Aleksej F. Filippov,et al.  Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[16]  Zhidong Teng,et al.  Finite-time synchronization for fuzzy cellular neural networks with time-varying delays , 2016, Fuzzy Sets Syst..

[17]  Xinsong Yang,et al.  Finite-Time Synchronization of Coupled Networks With Markovian Topology and Impulsive Effects , 2016, IEEE Transactions on Automatic Control.

[18]  Leon O. Chua,et al.  Cellular neural networks: applications , 1988 .

[19]  Tianping Chen,et al.  Almost Periodic Dynamics of a Class of Delayed Neural Networks with Discontinuous Activations , 2008, Neural Computation.

[20]  Jinde Cao,et al.  Finite-time synchronization of complex networks with nonidentical discontinuous nodes , 2013, Nonlinear Dynamics.

[21]  Renwei Jia,et al.  Finite-time stability of a class of fuzzy cellular neural networks with multi-proportional delays , 2017, Fuzzy Sets Syst..

[22]  Bin Wang,et al.  Finite-time parameter identification and adaptive synchronization between two chaotic neural networks , 2013, J. Frankl. Inst..

[23]  Lihong Huang,et al.  Finite-time synchronization of master-slave neural networks with time-delays and discontinuous activations , 2017 .

[24]  Daoyi Xu,et al.  Global exponential p-stability of stochastic non-autonomous Takagi-Sugeno fuzzy cellular neural networks with time-varying delays and impulses , 2014, Fuzzy Sets Syst..

[25]  Zhenyuan Guo,et al.  Stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations , 2014 .

[26]  Leon O. Chua,et al.  Fuzzy cellular neural networks: theory , 1996, 1996 Fourth IEEE International Workshop on Cellular Neural Networks and their Applications Proceedings (CNNA-96).

[27]  Jinde Cao,et al.  Finite-time stochastic synchronization of complex networks , 2010 .

[28]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .

[29]  Wentao Wang,et al.  Finite-time synchronization for a class of fuzzy cellular neural networks with time-varying coefficients and proportional delays , 2017, Fuzzy Sets Syst..

[30]  Jinde Cao,et al.  Impulsive Effects on Stability of Fuzzy Cohen–Grossberg Neural Networks With Time-Varying Delays , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[31]  Shukai Duan,et al.  Memristor-Based Cellular Nonlinear/Neural Network: Design, Analysis, and Applications , 2015, IEEE Transactions on Neural Networks and Learning Systems.