Global exponential stability of delayed inertial competitive neural networks

In this paper, the exponential stability for a class of delayed competitive neural networks is studied. By applying the inequality technique and non-reduced-order approach, some novel and useful criteria of global exponential stability for the addressed network model are established. Moreover, a numerical example is presented to show the feasibility and effectiveness of the theoretical results.

[1]  Mengmeng Zhang,et al.  Finite-time synchronization of delayed competitive neural networks with different time scales , 2019, Journal of Information and Optimization Sciences.

[2]  R. Raja,et al.  Impulsive effects on competitive neural networks with mixed delays: Existence and exponential stability analysis , 2019, Math. Comput. Simul..

[3]  Jinde Cao,et al.  Further synchronization in finite time analysis for time-varying delayed fractional order memristive competitive neural networks with leakage delay , 2018, Neurocomputing.

[4]  Jinde Cao,et al.  Multistability and instability of competitive neural networks with non-monotonic piecewise linear activation functions , 2019, Nonlinear Analysis: Real World Applications.

[5]  Manchun Tan,et al.  Multistability of delayed complex-valued competitive neural networks with discontinuous non-monotonic piecewise nonlinear activation functions , 2018, Commun. Nonlinear Sci. Numer. Simul..

[6]  Chuangxia Huang,et al.  Stability Analysis of SIR Model with Distributed Delay on Complex Networks , 2016, PloS one.

[7]  Mengmeng Zhang,et al.  Global exponential stability of periodic solutions in a nonsmooth model of hematopoiesis with time‐varying delays , 2017 .

[8]  Chuangxia Huang,et al.  Dynamics of a class of delayed reaction–diffusion systems with Neumann boundary condition , 2018 .

[9]  Song Zhu,et al.  Finite-Time Stability of Delayed Memristor-Based Fractional-Order Neural Networks , 2020, IEEE Transactions on Cybernetics.

[10]  Jingfeng Wang,et al.  Global Lagrange stability for inertial neural networks with mixed time-varying delays , 2017, Neurocomputing.

[11]  Anke Meyer-Bäse,et al.  Singular Perturbation Analysis of Competitive Neural Networks with Different Time Scales , 1996, Neural Computation.

[12]  Robert M. Westervelt,et al.  Stability and dynamics of simple electronic neural networks with added inertia , 1986 .

[13]  Jinde Cao,et al.  Existence and global stability of equilibrium point for delayed competitive neural networks with discontinuous activation functions , 2012, Int. J. Syst. Sci..

[14]  Lihong Huang,et al.  Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle–focus type , 2019, Nonlinear Analysis: Hybrid Systems.

[15]  Jinde Cao,et al.  Stability and synchronization criteria for fractional order competitive neural networks with time delays: An asymptotic expansion of Mittag Leffler function , 2019, J. Frankl. Inst..

[16]  Chuangxia Huang,et al.  On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities , 2014 .

[17]  Chuangxia Huang,et al.  Existence and global attractivity of almost periodic solutions for a delayed differential neoclassical growth model , 2017 .

[18]  Hongtao Lu,et al.  Global exponential stability of delayed competitive neural networks with different time scales , 2005, Neural Networks.

[19]  Xiaotong Li,et al.  Some new results on stability and synchronization for delayed inertial neural networks based on non-reduced order method , 2017, Neural Networks.

[20]  Wei Xing Zheng,et al.  Dynamical Behaviors of Multiple Equilibria in Competitive Neural Networks With Discontinuous Nonmonotonic Piecewise Linear Activation Functions , 2016, IEEE Transactions on Cybernetics.

[21]  Jinde Cao,et al.  Adaptive Lag Synchronization for Competitive Neural Networks With Mixed Delays and Uncertain Hybrid Perturbations , 2010, IEEE Transactions on Neural Networks.

[22]  Lihong Huang,et al.  Periodic attractor for reaction-diffusion high-order Hopfield neural networks with time-varying delays , 2017, Comput. Math. Appl..

[23]  Dora E. Angelaki,et al.  Models of membrane resonance in pigeon semicircular canal type II hair cells , 1991, Biological Cybernetics.

[24]  Chuangxia Huang,et al.  New studies on dynamic analysis of inertial neural networks involving non-reduced order method , 2019, Neurocomputing.

[25]  Song Zhu,et al.  Closed-loop control of nonlinear neural networks: The estimate of control time and energy cost , 2019, Neural Networks.

[26]  Chuangxia Huang,et al.  Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method , 2019, International Journal of Biomathematics.

[27]  Song Zhu,et al.  Global Anti-Synchronization of Complex-Valued Memristive Neural Networks With Time Delays , 2019, IEEE Transactions on Cybernetics.

[28]  Chuangxia Huang,et al.  Global exponential convergence in a delayed almost periodic Nicholson's blowflies model with discontinuous harvesting , 2018 .

[29]  Lihong Huang,et al.  Global dynamics of equilibrium point for delayed competitive neural networks with different time scales and discontinuous activations , 2014, Neurocomputing.

[30]  Lian Duan,et al.  Finite-time synchronization of delayed competitive neural networks with discontinuous neuron activations , 2018, Int. J. Mach. Learn. Cybern..

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

[32]  Lihong Huang,et al.  The number and stability of limit cycles for planar piecewise linear systems of node–saddle type , 2019, Journal of Mathematical Analysis and Applications.