Periodicity on Neutral-Type Inertial Neural Networks Incorporating Multiple Delays

The classical Hopefield neural networks have obvious symmetry, thus the study related to its dynamic behaviors has been widely concerned. This research article is involved with the neutral-type inertial neural networks incorporating multiple delays. By making an appropriate Lyapunov functional, one novel sufficient stability criterion for the existence and global exponential stability of T-periodic solutions on the proposed system is obtained. In addition, an instructive numerical example is arranged to support the present approach. The obtained results broaden the application range of neutral-types inertial neural networks.

[1]  Delay-dependent attractivity on a tick population dynamics model incorporating two distinctive time-varying delays , 2021, Proceedings of the Royal Society A.

[2]  Zuowei Cai,et al.  Mono/multi-periodicity generated by impulses control in time-delayed memristor-based neural networks , 2020 .

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

[4]  Haijun Hu,et al.  Delay-Dependent Dynamics of Switched Cohen-Grossberg Neural Networks with Mixed Delays , 2013 .

[5]  Jianhua Huang,et al.  Periodicity and stabilization control of the delayed Filippov system with perturbation , 2020, Discrete & Continuous Dynamical Systems - B.

[6]  Jinde Cao,et al.  Lagrange exponential stability of quaternion‐valued memristive neural networks with time delays , 2020, Mathematical Methods in the Applied Sciences.

[7]  Jinde Cao,et al.  Stability of discrete‐time fractional‐order time‐delayed neural networks in complex field , 2020, Mathematical Methods in the Applied Sciences.

[8]  Quanxin Zhu,et al.  Fixed-time synchronization analysis for discontinuous fuzzy inertial neural networks with parameter uncertainties , 2021, Neurocomputing.

[9]  Yicheng Liu,et al.  Collective periodic motions in a multiparticle model involving processing delay , 2020, Mathematical Methods in the Applied Sciences.

[10]  Jinde Cao,et al.  Global dynamics of neoclassical growth model with multiple pairs of variable delays , 2020, Nonlinearity.

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

[12]  Zixin Liu,et al.  Antiperiodic solutions to delayed inertial quaternion‐valued neural networks , 2020, Mathematical Methods in the Applied Sciences.

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

[14]  Xin Long,et al.  New results on stability of Nicholson's blowflies equation with multiple pairs of time-varying delays , 2020, Appl. Math. Lett..

[15]  Jinde Cao,et al.  Hybrid Control Scheme for Projective Lag Synchronization of Riemann–Liouville Sense Fractional Order Memristive BAM NeuralNetworks with Mixed Delays , 2019, Mathematics.

[16]  Xiaodi Li,et al.  Exponential and almost sure exponential stability of stochastic fuzzy delayed Cohen-Grossberg neural networks , 2012, Fuzzy Sets Syst..

[17]  Xin Long Novel stability criteria on a patch structure Nicholson’s blowflies model with multiple pairs of time-varying delays , 2020, AIMS Mathematics.

[18]  Ziye Zhang,et al.  Synchronization and anti-synchronization for complex-valued inertial neural networks with time-varying delays , 2021, Appl. Math. Comput..

[19]  J. Cao,et al.  A perspective on graph theory-based stability analysis of impulsive stochastic recurrent neural networks with time-varying delays , 2019 .

[20]  Jianlong Qiu,et al.  Synchronization criteria of delayed inertial neural networks with generally Markovian jumping , 2021, Neural Networks.

[21]  Lihong Huang,et al.  Some weak flocking models and its application to target tracking , 2019 .

[22]  Jinde Cao,et al.  Stability of antiperiodic recurrent neural networks with multiproportional delays , 2020, Mathematical Methods in the Applied Sciences.

[23]  Qian Cao,et al.  Anti-periodic dynamics on high-order inertial Hopfield neural networks involving time-varying delays , 2020, AIMS Mathematics.

[24]  Chuangxia Huang,et al.  Dynamics analysis on a class of delayed neural networks involving inertial terms , 2020, Advances in Difference Equations.

[25]  Jinde Cao,et al.  Mittag‐Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field , 2020, Mathematical Methods in the Applied Sciences.

[26]  Hong Zhang,et al.  Convergence analysis on inertial proportional delayed neural networks , 2020, Advances in Difference Equations.

[27]  Ozlem Faydasicok,et al.  New criteria for global stability of neutral-type Cohen-Grossberg neural networks with multiple delays , 2020, Neural Networks.

[28]  Jigui Jian,et al.  Non-reduced order strategies for global dissipativity of memristive neutral-type inertial neural networks with mixed time-varying delays , 2021, Neurocomputing.

[29]  Haijun Jiang,et al.  Exponential and adaptive synchronization of inertial complex-valued neural networks: A non-reduced order and non-separation approach , 2020, Neural Networks.

[30]  Jinde Cao,et al.  Novel Lagrange sense exponential stability criteria for time-delayed stochastic Cohen–Grossberg neural networks with Markovian jump parameters: A graph-theoretic approach , 2020 .

[31]  Chee Peng Lim,et al.  Neutral-type of delayed inertial neural networks and their stability analysis using the LMI Approach , 2017, Neurocomputing.

[32]  Chuangxia Huang,et al.  Global behavior of a reaction-diffusion model with time delay and Dirichlet condition , 2021 .

[33]  L. Yao,et al.  Anti-periodicity on high-order inertial Hopfield neural networks involving mixed delays , 2020 .

[34]  Jinde Cao,et al.  Nonnegative periodicity on high-order proportional delayed cellular neural networks involving $ D $ operator , 2021 .

[35]  Chuangxia Huang,et al.  Global exponential stability of delayed inertial competitive neural networks , 2020, Advances in Difference Equations.

[37]  Lihong Huang,et al.  Almost periodicity analysis for a delayed Nicholson's blowflies model with nonlinear density-dependent mortality term , 2019, Communications on Pure & Applied Analysis.

[38]  Mo Chen,et al.  Further study on finite-time synchronization for delayed inertial neural networks via inequality skills , 2020, Neurocomputing.

[39]  Hedi Yang Weighted pseudo almost periodicity on neutral type CNNs involving multi-proportional delays and D operator , 2021 .

[40]  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.

[41]  Jinde Cao,et al.  Finite-time synchronization criterion of graph theory perspective fractional-order coupled discontinuous neural networks , 2020, Advances in Difference Equations.

[42]  R. Westervelt,et al.  Dynamics of simple electronic neural networks , 1987 .

[43]  Chuangxia Huang,et al.  Exponential stability for stochastic jumping BAM neural networks with time-varying and distributed delays , 2011 .

[44]  Haijun Hu,et al.  Convergence in a system of critical neutral functional differential equations , 2020, Appl. Math. Lett..

[45]  Tingwen Huang,et al.  Lagrange stability of delayed switched inertial neural networks , 2020, Neurocomputing.

[46]  Chaofan Qian,et al.  Novel stability criteria on nonlinear density-dependent mortality Nicholson’s blowflies systems in asymptotically almost periodic environments , 2020 .

[47]  Bo Du,et al.  Periodic solution for neutral-type inertial neural networks with time-varying delays , 2020 .

[48]  Jiang Xiong,et al.  Structural Balance Control of Complex Dynamical Networks Based on State Observer for Dynamic Connection Relationships , 2020, Complex..

[49]  Hong Zhang,et al.  Asymptotically almost periodic dynamics on delayed Nicholson-type system involving patch structure , 2020 .

[50]  Lihong Huang,et al.  Generalized Lyapunov-Razumikhin method for retarded differential inclusions: Applications to discontinuous neural networks , 2017 .

[51]  Lihong Huang,et al.  Globally exponentially stable periodic solution in a general delayed predator-prey model under discontinuous prey control strategy , 2020, Discrete & Continuous Dynamical Systems - B.

[52]  Shuai Yuan,et al.  Influence of multiple time delays on bifurcation of fractional-order neural networks , 2019, Appl. Math. Comput..

[53]  Jinde Cao,et al.  Weighted pseudo almost periodicity of multi-proportional delayed shunting inhibitory cellular neural networks with D operator , 2021, Discrete & Continuous Dynamical Systems - S.

[54]  Jinde Cao,et al.  Fixed time synchronization of delayed quaternion-valued memristor-based neural networks , 2020, Advances in Difference Equations.

[55]  Jigui Jian,et al.  Finite-time synchronization for fuzzy neutral-type inertial neural networks with time-varying coefficients and proportional delays , 2020, Fuzzy Sets Syst..

[56]  Xi Chen,et al.  Asymptotic Behavior of Switched Stochastic Delayed Cellular Neural Networks via Average Dwell Time Method , 2013 .

[57]  Xin Long,et al.  New convergence on inertial neural networks with time-varying delays and continuously distributed delays , 2020, AIMS Mathematics.

[58]  Bingwen Liu,et al.  Stability on positive pseudo almost periodic solutions of HPDCNNs incorporating D operator , 2021, Math. Comput. Simul..

[59]  Zhigang Zeng,et al.  Global exponential stabilization and lag synchronization control of inertial neural networks with time delays , 2020, Neural Networks.

[60]  Lihong Huang,et al.  Global dynamics of an SIRS model with demographics and transfer from infectious to susceptible on heterogeneous networks. , 2019, Mathematical biosciences and engineering : MBE.

[61]  Jinde Cao,et al.  Existence, Uniqueness and Exponential Stability of Periodic Solution for Discrete-Time Delayed BAM Neural Networks Based on Coincidence Degree Theory and Graph Theoretic Method , 2019, Mathematics.