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Stability of Cohen–Grossberg neural networks with time-varying delays
Neural Networks, 2007In this paper, we investigate the existence and stability of the equilibrium point of Cohen-Grossberg neural networks with time-varying delays. Under easily verified conditions, exponential stability is obtained when the delay is finite, while asymptotic stability is obtained when the delay is infinite. Moreover, the stability obtained is robust.
Huang, Tingwen +3 more
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Periodic bi-directional Cohen–Grossberg neural networks with distributed delays
Nonlinear Analysis: Theory, Methods & Applications, 2007The paper deals with the delay system \[ \begin{aligned} x'_i(t)=\alpha_i(x_i(t))\left( -a_i(t,x_i(t)) +\sum_{j=1}^p w_{ji}(t) \int_0^\infty K_{ji}(u) f_j(t,\lambda_j y_j(t-u))\,du+I_i(t) \right),\\ \quad i=1,\dots,n,\end{aligned} \] \[ \begin{aligned} y'_j(t)=\beta_j(y_j(t))\left( -b_j(t,y_j(t)) +\sum_{i=1}^n v_{ij}(t) \int_0^\infty L_{ij}(u) g_i(t ...
Chen, Anping, Cao, Jinde
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Stability and bifurcation for discrete-time Cohen–Grossberg neural network
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Hongyong, Wang, Lei
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Stability of Cohen–Grossberg neural networks with distributed delays
Applied Mathematics and Computation, 2005The author investigates global asymptotic stability and global exponential stability of Cohen-Grossberg neural networks and Hopfield neural networks with infinite and finite distributed delays. The existence and global stability of periodic solutions of Hopfield neural networks with distributed delays and periodic inputs are achieved by using the ...
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Hopf bifurcation in Cohen–Grossberg neural network with distributed delays
Nonlinear Analysis: Real World Applications, 2007The authors of this interesting paper discuss stability and bifurcation of distributed delays Cohen-Grossberg neural networks with two neurons. By choosing the average delay as a bifurcation parameter, they prove that Hopf bifurcation occurs. They also determine the stability of bifurcating periodic solutions and the direction of Hopf bifurcation by ...
Zhao, Hongyong, Wang, Lei
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Weak attractor for stochastic Cohen–Grossberg neural networks with delays
Nonlinear Dynamics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wan, Li, Zhou, Qinghua, Wang, Pei
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New Results on Impulsive Cohen–Grossberg Neural Networks
Neural Processing Letters, 2018This paper is concerned with an impulsive Cohen–Grossberg neural networks with mixed delays. Under proper conditions, we studied the existence, the uniqueness and the global exponential stability of asymptotic almost automorphic solutions for the suggested system. Our method was mainly based on the Banach’s fixed point theorem, the generalized Gronwall–
Chaouki Aouiti, Farah Dridi
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New Results on Interval General Cohen-Grossberg BAM Neural Networks
Journal of Systems Science and Complexity, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aouiti, Chaouki, Dridi, Farah
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Asymptotic Behavior of Periodic Cohen-Grossberg Neural Networks with Delays
Neural Computation, 2009Without assuming the positivity of the amplification functions, we prove some M-matrix criteria for the [Formula: see text]-global asymptotic stability of periodic Cohen-Grossberg neural networks with delays. By an extension of the Lyapunov method, we are able to include neural systems with multiple nonnegative periodic solutions and nonexponential ...
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Stability in delayed Cohen–Grossberg neural networks: LMI optimization approach
Physica D: Nonlinear Phenomena, 2005The authors investigate stability problems for a class of delayed Cohen-Grossberg neural networks. On the basis of the linear matrix inequality (LMI) optimization approach, and also by combining the Lyapunov-Krasovskii functional method with the Halanay inequality technique, several new sufficient criteria are given for establishing global asymptotic ...
Cao, Jinde, Li, Xiaolin
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