Results 11 to 20 of about 1,367 (141)

Global Exponential Stability of a Unique Almost Periodic Solution for Neutral-Type Cohen-Grossberg Neural Networks with Time Delays [PDF]

Mathematical Problems in Engineering, 2013
This paper is concerned with the problem of the existence, uniqueness, and global exponential stability of almost periodic solution for neutral-type Cohen-Grossberg neural networks with time delays. Based on fixed point theory and Lyapunov functional, several sufficient conditions are established for the existence, uniqueness, and global exponential ...
Liao, Yongzhi, Wu, Wenquan, Zhang, Tianwei   +2 more
openaire   +3 more sources

New Stability Criterion for Takagi-Sugeno Fuzzy Cohen-Grossberg Neural Networks with Probabilistic Time-Varying Delays [PDF]

Mathematical Problems in Engineering, Volume 2017, Issue 1, 2017., 2017
A new global asymptotic stability criterion of Takagi-Sugeno fuzzy Cohen-Grossberg neural networks with probabilistic time-varying delays was derived, in which the diffusion item can play its role.
Ruofeng Rao, Shouming Zhong, Xiongrui Wang   +2 more
core   +3 more sources

Global Exponential Stability of a Discrete‐Time Rayleigh System with Delays

Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021
This paper deals with the problem of global exponential stability for a discrete‐time Rayleigh system with delays. By using the mathematical induction method, some sufficient conditions are proposed for the global exponential stability of the discrete‐time Rayleigh system.
Bangyu Shen, Carmen Coll
wiley   +1 more source

Existence, Uniqueness, and Exponential Stability of Uncertain Delayed Neural Networks with Inertial Term: Nonreduced Order Case

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
In this work, we mainly focus on uncertain delayed neural network system with inertial term. Here, the existence, uniqueness, and exponential stability of inertial neural networks are derived without shifting the second order differential system into first order through substituting variables.
M. Iswarya, R. Raja, Q. Zhu, M. Niezabitowski, J. Alzabut, C. Maharajan, Li Haitao   +6 more
wiley   +1 more source

Further Results on Exponentially Robust Stability of Uncertain Connection Weights of Neutral‐Type Recurrent Neural Networks

Complexity, Volume 2021, Issue 1, 2021., 2021
Further results on the robustness of the global exponential stability of recurrent neural network with piecewise constant arguments and neutral terms (NPRNN) subject to uncertain connection weights are presented in this paper. Estimating the upper bounds of the two categories of interference factors and establishing a measuring mechanism for uncertain ...
Wenxiao Si, Tao Xie, Biwen Li, Yue Song
wiley   +1 more source

New Stability Criterion for Fractional‐Order Quaternion‐Valued Neural Networks Involving Discrete and Leakage Delays

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In the current work, we are devoted to the issue of uniform stability of fractional‐order quaternion‐valued neural networks involving discrete and leakage delays. Making use of the contracting mapping theory, we prove that the equilibrium point of the involved fractional‐order quaternion‐valued neural networks exists and is unique.
Bingjun Li, Bingnan Tang, Lifeng Wu
wiley   +1 more source

Neural Dynamics of Motion Perception: Direction Fields, Apertures, and Resonant Grouping [PDF]

, 1992
A neural network model of global motion segmentation by visual cortex is described. Called the Motion Boundary Contour System (BCS), the model clarifies how ambiguous local movements on a complex moving shape are actively reorganized into a coherent ...
Grossberg, Stephen, Mingolla, Ennio
core   +2 more sources

Almost periodic solutions of retarded SICNNs with functional response on piecewise constant argument [PDF]

, 2015
We consider a new model for shunting inhibitory cellular neural networks, retarded functional differential equations with piecewise constant argument. The existence and exponential stability of almost periodic solutions are investigated.
Akhmet, Marat, Fen, Mehmet Onur, Kirane, Mokhtar   +2 more
core   +2 more sources

Mechanisms for the generation and regulation of sequential behaviour [PDF]

, 2003
A critical aspect of much human behaviour is the generation and regulation of sequential activities. Such behaviour is seen in both naturalistic settings such as routine action and language production and laboratory tasks such as serial recall and many ...
Cooper, Richard P.
core   +1 more source

Some generalized global stability criteria for delayed Cohen–Grossberg neural networks of neutral-type

Neural Networks, 2019
This paper carries out a theoretical investigation into the stability problem for the class of neutral-type Cohen-Grossberg neural networks with discrete time delays in states and discrete neutral delays in time derivative of states. By employing a more general type of suitable Lyapunov functional, a set of new generalized sufficient criteria are ...
Samli, Ruya, Senan, Sibel, Yucel, Eylem, Orman, Zeynep   +3 more
openaire   +4 more sources