Global Stability of Integral Manifolds for Reaction–Diffusion Delayed Neural Networks of Cohen–Grossberg-Type under Variable Impulsive Perturbations [PDF]
Mathematics, 2020 The present paper introduces the concept of integral manifolds for a class of delayed impulsive neural networks of Cohen–Grossberg-type with reaction–diffusion terms.
Gani Stamov +4 more
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On the Stability with Respect to H-Manifolds for Cohen–Grossberg-Type Bidirectional Associative Memory Neural Networks with Variable Impulsive Perturbations and Time-Varying Delays [PDF]
Mathematics, 2020 The present paper is devoted to Bidirectional Associative Memory (BAM) Cohen−Grossberg-type impulsive neural networks with time-varying delays.
Gani Stamov +3 more
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Impulsive Control Via Variable Impulsive Perturbations on a Generalized Robust Stability for Cohen–Grossberg Neural Networks With Mixed Delays [PDF]
IEEE Access, 2020 Cohen-Grossberg neural networks with delays provide a very powerful tool in the study of information processing, parallel computation, pattern recognition and solving of optimization problems.
Jinde Cao +4 more
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Practical Stability with Respect to h-Manifolds for Impulsive Control Functional Differential Equations with Variable Impulsive Perturbations [PDF]
Mathematics, 2019 The present paper is devoted to the problems of practical stability with respect to h-manifolds for impulsive control differential equations with variable impulsive perturbations.
Gani Stamov +3 more
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On the Global Practical Exponential Stability of h-Manifolds for Impulsive Reaction–Diffusion Cohen–Grossberg Neural Networks with Time-Varying Delays [PDF]
EntropyIn this paper, we focus on h-manifolds related to impulsive reaction–diffusion Cohen–Grossberg neural networks with time-varying delays. By constructing a new Lyapunov-type function and a comparison principle, sufficient conditions that guarantee the ...
Gani Stamov +3 more
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Mathematics, 2023 As an essential dynamic behavior, the synchronization of inertial Cohen–Grossberg neural networks (ICGNNs) has received considerable attention due to its successful applications in neural cryptography, public channel cryptography, security communications,
Fengjiao Zhang, Yinfang Song, Chao Wang
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What is the contribution of voluntary and reflex processes to sensorimotor control of balance?
Frontiers in Bioengineering and Biotechnology, 2022 The contribution to balance of spinal and transcortical processes including the long-latency reflex is well known. The control of balance has been modelled previously as a continuous, state feedback controller representing, long-latency reflexes. However,
Amel Cherif, Jacopo Zenzeri, Ian Loram
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Second method of Lyapunov for stability of linear impulsive differential‐difference equations with variable impulsive perturbations [PDF]
International Journal of Stochastic Analysis, 1997 The present work is devoted to the study of stability of the zero solution to linear impulsive differential‐difference equations with variable impulsive perturbations. With the aid of piecewise continuous auxiliary functions, which are generalizations of the classical Lyapunov′s functions, sufficient conditions are found for the uniform stability and ...
Bainov, D. D. +2 more
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Leader-Following Consensus of Stochastic Perturbed Multi-Agent Systems via Variable Impulsive Control and Comparison System Method [PDF]
IEEE Access, 2020 In this paper, we explore the consensus control scheme of stochastic perturbed nonlinear multi-agent systems with impulsive protocol and comparison system method. The effective variable impulsive consensus method is used to remove the restriction of fixed impulsive instants, which is more reliable and flexible in practical applications. From the theory
Jing Xiao +4 more
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BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE IMPULSIVE PERTURBATIONS [PDF]
Bulletin of the Australian Mathematical Society, 2008 AbstractIn the present paper an initial value problem for impulsive functional differential equations with variable impulsive perturbations is considered. By means of piecewise continuous functions coupled with the Razumikhin technique, sufficient conditions for boundedness of solutions of such equations are found.
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