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IEEE transaction on neural networks and learning systems, ISSN 2162-2388, 2016, Volume 27, Issue 3, pp. 593 - 606
Journal Article
IEEE Transactions on Circuits and Systems I: Regular Papers, ISSN 1549-8328, 05/2005, Volume 52, Issue 5, pp. 920 - 931
In this paper, the global exponential stability and periodicity of a class of recurrent neural networks with time delays are addressed by using Lyapunov functional method and inequality techniques... 
Recurrent neural networks | Automation | Delay effects | Lyapunov method | Stability analysis | time delay | Associative memory | Neural networks | Stability criteria | Hopfield neural networks | periodicity | Cellular neural networks | stability | Inequality | Stability | Time delay | Periodicity | inequality | recurrent neural networks | DYNAMICS | SUFFICIENT CONDITION | ABSOLUTE STABILITY | ENGINEERING, ELECTRICAL & ELECTRONIC | Liapunov functions | Research
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 2012, Volume 25, Issue 3, pp. 232 - 236
In this work, absolutely exponential stability of Lur’e distributed parameter control systems with delayed state has been addressed... 
Wave equation | Absolute stability | Distributed parameter systems | Linear operator inequalities (LOIs) | MATHEMATICS, APPLIED | Control systems
Journal Article
Physics Letters A, ISSN 0375-9601, 2002, Volume 298, Issue 5, pp. 393 - 404
In this Letter, by utilizing the Lyapunov functional method, applying M-matrix and topological degree theory, we analyze the global exponential stability and the existence of periodic solutions... 
Global exponential stability | M-matrix | Recurrent neural networks | Periodic solutions | Delays | Topological degree | Lyapunov function | topological degree | DOMAIN | PHYSICS, MULTIDISCIPLINARY | periodic solutions | CNNS | global exponential stability | recurrent neural networks | delays | ASSOCIATIVE MEMORY | ATTRACTION | ABSOLUTE STABILITY | CONVERGENCE RATE
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2004, Volume 296, Issue 2, pp. 665 - 685
Journal Article
Physics Letters A, ISSN 0375-9601, 2004, Volume 329, Issue 1, pp. 36 - 48
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 2012, Volume 25, Issue 4, pp. 712 - 716
In this work the absolute mean square exponential stability of Lur’e stochastic distributed parameter control systems has been addressed... 
Wave equation | Absolute stability | Distributed parameter systems | Linear operator inequalities (LOIs) | MATHEMATICS, APPLIED | Control systems | Mean square values | Stability | Mathematical analysis | Inequalities | Hilbert space | Stochasticity | Linear operators
Journal Article
Neural Networks, ISSN 0893-6080, 2004, Volume 17, Issue 10, pp. 1401 - 1414
Journal Article
Mathematical and Computer Modelling, ISSN 0895-7177, 2008, Volume 47, Issue 9, pp. 868 - 873
Journal Article
Physics Letters A, ISSN 0375-9601, 2006, Volume 350, Issue 1, pp. 96 - 102
.... By means of the extended nonlinear measure approach, new and relaxed sufficient conditions for the existence, uniqueness and global exponential stability of equilibrium of the neural networks are obtained... 
Exponential decay estimate | Exponential stability | Nonlinear measure | Cohen–Grossberg neural networks | Cohen-Grossberg neural networks | nonlinear measure | ABSOLUTE STABILITY | PHYSICS, MULTIDISCIPLINARY | exponential decay estimate | exponential stability | Neural networks | Analysis
Journal Article
Applied mathematics and computation, ISSN 0096-3003, 2004, Volume 154, Issue 3, pp. 783 - 813
Sufficient conditions are obtained for the existence and asymptotic stability of a unique equilibrium of a Hopfield-type neural network with Lipschitzian activation functions without assuming... 
Asymptotic stability | Impulsive displacements | Hopfield networks | Lipschitzian activation functions | Lyapunov function | NUMERICAL-METHODS | MATHEMATICS, APPLIED | EXPONENTIAL STABILITY | LYAPUNOV FUNCTIONS | DIFFERENCE SCHEME | asymptotic stability | GLOBAL ASYMPTOTIC STABILITY | impulsive displacements | ASSOCIATIVE MEMORY | ABSOLUTE STABILITY | CONTINUOUS-TIME | DISCRETE-TIME | GRADED RESPONSE
Journal Article
Systems & Control Letters, ISSN 0167-6911, 04/2014, Volume 66, Issue 1, pp. 51 - 57
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2007, Volume 205, Issue 1, pp. 161 - 173
We study delayed cellular neural networks (DCNNs) whose state variables are governed by nonlinear integrodifferential differential equations with delays... 
Lyapunov functionals | Cellular neural networks | Distributed delays | Equilibria | Exponential stability | PERIODIC-SOLUTIONS | MATHEMATICS, APPLIED | equilibria | distributed delays | SUFFICIENT CONDITIONS | ABSOLUTE STABILITY | CONTINUOUS-TIME | cellular neural networks | exponential stability | CELLULAR NEURAL-NETWORKS
Journal Article
Neural Networks, ISSN 0893-6080, 2002, Volume 15, Issue 3, pp. 415 - 422
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 5/2018, Volume 92, Issue 3, pp. 1197 - 1215
...–diffusion terms with appropriate values. We emphasize that the non-trivial role of diffusions is enlarging the stability region in the system described by PDE, comparing with the corresponding system described by DDE. Finally, numerical simulations are carried out to verify the efficiency of the theoretical analysis and provide comparisons with some existing literature. 
Engineering | Vibration, Dynamical Systems, Control | Reaction–diffusion term | Classical Mechanics | Bifurcation | Automotive Engineering | Mechanical Engineering | Absolute stability | Conditional stability | Delayed neural network | GLOBAL EXPONENTIAL STABILITY | TERMS | TIME-VARYING DELAYS | MODEL | HOPF-BIFURCATION ANALYSIS | ENGINEERING, MECHANICAL | TRAVELING-WAVES | PATTERN-FORMATION | SYNCHRONIZATION | MECHANICS | NEURONS | LOOPS | Reaction-diffusion term | Numerical analysis | Neurons | Neural networks | Analysis | Computer simulation | Partial differential equations | Dynamic stability | Bifurcation theory | Coupling | Parameter identification | Diffusion
Journal Article