Impulsive control on global exponential stability for cellular neural networks with supremums

DOI10.1177/1077546312441042zbMath1348.93150OpenAlexW2129460811MaRDI QIDQ2831935

Ivanka M. Stamova, Trayan Stamov, Neli Simeonova

Publication date: 4 November 2016

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546312441042

zbMATH Keywords

impulsescellular neural networksLyapunov methodglobal exponential stabilitysupremums

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Lyapunov and storage functions (93D30) Ordinary differential equations with impulses (34A37) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (10)

Global Mittag-Leffler synchronization for impulsive fractional-order neural networks with delays ⋮ Mittag-Leffler synchronization of fractional neural networks with time-varying delays and reaction-diffusion terms using impulsive and linear controllers ⋮ Impulsive effects on the global exponential stability of neural network models with supremums ⋮ Nonlinear multi-term impulsive fractional \(q\)-difference equations with closed boundary conditions ⋮ Synchronization and anti-synchronization of fractional dynamical networks ⋮ Impulsive effects on global stability of models based on impulsive differential equations with ``supremum and variable impulsive perturbations ⋮ Lipschitz stability criteria for functional differential systems of fractional order ⋮ Global exponential stability of a class of impulsive cellular neural networks with supremums ⋮ Asymptotic stability of impulsive control neutral-type systems ⋮ Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays

Cites Work

• Impulsive control on global asymptotic stability for a class of impulsive bidirectional associative memory neural networks with distributed delays
• Stability analysis of impulsive functional differential equations
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• Globally exponential stability conditions for cellular neural networks with time-varying delays.
• On stability of delayed cellular neural networks
• Almost periodic solutions for impulsive neural networks with delay
• On the global asymptotic stability of delayed cellular neural networks
• Lyapunov-Razumikhin method for impulsive differential equations with 'supremum'
• Cellular neural networks: theory
• Stability and dynamics of delay-type general and cellular neural networks
• Impulsive stabilization of functional differential equations by Lyapunov–Razumikhin functions

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