Fixed-Time Synchronization of Fuzzy Cellular Neural Networks With Time-Varying Delays and Discontinuous Activations

The present paper investigates the fixed-time synchronization for fuzzy cellular neural networks with time-varying delays and discontinuous activations. In the framework of differential inclusions, new and useful fixed-time synchronization criteria for the networks considered are established by utilizing the discontinuous state feedback control and constructing Lyapunov functionals, which significantly generalize and improve recent works in the literature. Numerical simulations are given to show the effectiveness of the fixed-time synchronization schemes.

[1]  Chin-Teng Lin,et al.  Support-vector-based fuzzy neural network for pattern classification , 2006, IEEE Transactions on Fuzzy Systems.

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

[3]  Daniel W. C. Ho,et al.  Finite-Time Stability of Probabilistic Logical Networks: A Topological Sorting Approach , 2020, IEEE Transactions on Circuits and Systems II: Express Briefs.

[4]  Tingwen Huang,et al.  Global exponential synchronization of multiple coupled inertial memristive neural networks with time-varying delay via nonlinear coupling , 2018, Neural Networks.

[5]  Tao Yang,et al.  Fuzzy Cellular Neural Network: a new paradigm for image processing , 1997, Int. J. Circuit Theory Appl..

[6]  Qing-Long Han,et al.  Fixed-time pinning-controlled synchronization for coupled delayed neural networks with discontinuous activations , 2019, Neural Networks.

[7]  Tingwen Huang,et al.  Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks , 2017, Neural Networks.

[8]  Lixiang Li,et al.  Fixed-time synchronization of memristor-based fuzzy cellular neural network with time-varying delay , 2018, J. Frankl. Inst..

[9]  Ta-lun Yang,et al.  The global stability of fuzzy cellular neural network , 1996 .

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

[11]  Baoxian Wang,et al.  Global exponential dissipativity of neutral-type BAM inertial neural networks with mixed time-varying delays , 2020, Neurocomputing.

[12]  Shitong Wang,et al.  A new detection algorithm (NDA) based on fuzzy cellular neural networks for white blood cell detection , 2006, IEEE Transactions on Information Technology in Biomedicine.

[13]  Ahmed Alsaedi,et al.  Global Mittag-Leffler stability analysis of impulsive fractional-order complex-valued BAM neural networks with time varying delays , 2020, Commun. Nonlinear Sci. Numer. Simul..

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

[15]  Jinde Cao,et al.  Robust synchronization of coupled neural networks with mixed delays and uncertain parameters by intermittent pinning control , 2014, Neurocomputing.

[16]  Shouchuan Hu Differential equations with discontinuous right-hand sides☆ , 1991 .

[17]  Xiaofan Li,et al.  Finite-time synchronization of fractional-order memristive recurrent neural networks with discontinuous activation functions , 2018, Neurocomputing.

[18]  Xinsong Yang,et al.  Finite-time cluster synchronization for a class of fuzzy cellular neural networks via non-chattering quantized controllers , 2019, Neural Networks.

[19]  Xiaofan Li,et al.  Finite-time synchronization of memristive neural networks with discontinuous activation functions and mixed time-varying delays , 2019, Neurocomputing.

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

[21]  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..

[22]  Wilfrid Perruquetti,et al.  Finite-Time Observers: Application to Secure Communication , 2008, IEEE Transactions on Automatic Control.

[23]  Swati Tyagi,et al.  Finite-time stability for a class of fractional-order fuzzy neural networks with proportional delay , 2020, Fuzzy Sets Syst..

[24]  Jinde Cao,et al.  Fixed-time synchronization of delayed memristor-based recurrent neural networks , 2017, Science China Information Sciences.

[25]  Yan Shi,et al.  Finite-Time Consensus of Second-Order Switched Nonlinear Multi-Agent Systems , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[26]  Shitong Wang,et al.  Advanced fuzzy cellular neural network: Application to CT liver images , 2007, Artif. Intell. Medicine.

[27]  Jigen Peng,et al.  Exponential lag synchronization of fuzzy cellular neural networks with time-varying delays , 2012, J. Frankl. Inst..

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

[29]  Chao Yang,et al.  Fixed-time synchronization of coupled memristor-based neural networks with time-varying delays , 2019, Neural Networks.

[30]  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).

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

[32]  José António Tenreiro Machado,et al.  Delay-dependent criterion for asymptotic stability of a class of fractional-order memristive neural networks with time-varying delays , 2019, Neural Networks.

[33]  Lihong Huang,et al.  Finite-time synchronization of delayed fuzzy cellular neural networks with discontinuous activations , 2019, Fuzzy Sets Syst..

[34]  Jun Zhou,et al.  Asymptotical synchronization for delayed stochastic neural networks with uncertainty via adaptive control , 2016 .

[35]  Lixiang Li,et al.  Finite-time stability and synchronization of memristor-based fractional-order fuzzy cellular neural networks , 2018, Commun. Nonlinear Sci. Numer. Simul..

[36]  Rui Xu,et al.  Synchronization of non-identical chaotic delayed fuzzy cellular neural networks based on sliding mode control☆ , 2012 .