Lewis proposes a "reconceptualization" (p. 1) of how to link the psychology and neurobiology of emotion and cognitive-emotional interactions. His main proposed themes have actually been actively and quantitatively developed in the neural modeling literature for over thirty years. This commentary summarizes some of these themes and points to areas of particularly active research in this area. CO...

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1 School of Mathematics and Computational Science, Xiangtan University, 411105 Hunan, China 2 School of Mathematics and Computational Science, Changsha University of Science and Technology, 410076 Hunan, China 3 Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100080 Beijing, China 4 School of Mathematics, Central South University, 41007...

The nonlinear p-Laplace diffusion p > 1 was considered in the Cohen-Grossberg neural network CGNN , and a new linear matrix inequalities LMI criterion is obtained, which ensures the equilibrium of CGNN is stochastically exponentially stable. Note that , if p 2, p-Laplace diffusion is just the conventional Laplace diffusion in many previous literatures. And it is worth mentioning that even if p ...

Abstract In this paper, we have introduced the S-type distributed delays into the Cohen-Grossberg neural networks since this type of delays may arise in practice and is more general than usual type of distributed delays. In order to use the topological degree method in providing the existence of the equilibrium except for zero equilibrium, some new analysis techniques are demonstrated. Moreover...

This paper considers robust stability, stabilization and H ∞ control problems for jumping stochastic Cohen-Grossberg neural networks (CGNNs) with delays. A new type of mixed time delays including discrete delays and distributed delays are addressed, which fuses time-varying delays and mode-dependent delays into one whole. A delay-interval dependent control approach is presented to analyze that ...

In this paper, we investigate the dynamical behaviors of a novel class of Cohen–Grossberg neural networks with not only mixed time delays, i.e., time varying delays and distributed delays, but also discontinuous activations, which may be unbounded or nonmonotonic. Some sufficient conditions are derived to ensure the existence, uniqueness of the equilibrium, global exponential asymptotic stabili...

In this paper, we investigate the delay-dependent robust stability of fuzzy Cohen-Grossberg neural networks with Markovian jumping parameter and mixed time varying delays by delay decomposition method. A new Lyapunov-Krasovskii functional (LKF) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matr...

Xinyuan Liang College of Computer Science Chongqing Technology and Business University Chongqing , P R China [email protected] Tian Wang College of Computer Science Chongqing Technology and Business University Chongqing , P R China [email protected] Zhengxia Wang School of Science Chongqing Jiaotong University Chongqing , P R China [email protected] Haixia Wu Department of Computer and Modern Educati...

In this paper, the authors are concerned with the stability of the mix–delayed CohenGrossberg neural networks with nonlinear impulse by the nonsmooth analysis. Some novel sufficient conditions are obtained for the existence and the globally asymptotic stability of the unique equilibrium point, which include the well-known results on some impulsive systems and non-impulsive systems as its partic...