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Uniform Asymptotic Stability and Global Asymptotic Stability for Time-Delay Hopfield Neural Networks [PDF]
, 2012 Part 11: Engineering Applications of AI and Artificial Neural NetworksInternational audienceIn this paper, we consider the uniform asymptotic stability and global asymptotic stability of the equilibrium point for time-delays Hopfield neural networks ...
Arbi, Adnene +5 more
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Invariant Regions and Global Asymptotic Stability in an Isothermal Catalyst
, 1988 A well-known model for the evolution of the (space-dependent) concentration and (lumped) temperature in a porous catalyst is considered. A sequence of invariant regions of the phase space is given, which converges to a globally asymptotically stable ...
Vega de Prada, Josรฉ Manuel
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Global Asymptotic Stability for a Fourth-Order Rational Difference Equation
Discrete Dynamics in Nature and Society, 2009 Our aim is to investigate the global behavior of the following fourth-order rational difference equation: ๐ฅ๐+1=(๐ฅ๐๐ฅ๐โ2๐ฅ๐โ3+๐ฅ๐+๐ฅ๐โ2+๐ฅ๐โ3+๐)/(๐ฅ๐๐ฅ๐โ2+๐ฅ๐๐ฅ๐โ3+๐ฅ๐โ2๐ฅ๐โ3+1+๐), ๐=0,1,2,โฆ where ๐โ[0,โ) and the initial values
Meseret Tuba Gรผlpinar, Mustafa Bayram
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Journal of Control Science and Engineering, 2011 This paper addresses the problem of global asymptotic stability of a class of discrete uncertain state-delayed systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model using generalized overflow nonlinearities.
Anurita Dey, Haranath Kar
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Chaos Theory and Applications, 2022 A fractional-order Leslie-Gower prey-predator-parasite system with delay is proposed in this article. The existence and uniqueness of the solutions, as well as their non-negativity and boundedness, are studied.
Liguo Yuan, Xiaoting Yang, Zhouchao Wei
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Question of global asymptotic stability in state-varying nonlinear systems
, 1994 A problem raised by LaSalle (i.e., a discrete counterpart of the Jacobian problem in differential equations) concerning the global asymptotic stability in state-varying nonlinear systems is settled.
Jinn Wen Wu, Mau-Hsiang Shih
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Global asymptotic stability of pendulum-like system with state delay
, 2007 This paper considers robust global asymptotic stability for the delayed nonlinear pendulum-like systems with ploytopic uncertainties. The delay-dependent criteria, guaranteeing the global asymptotic stability for the pendulum-like systems with state ...
Lu, Pingli +5 more
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Global stability of a predator-prey model with BeddingtonโDeAngelis and Tanner functional response
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper, we study the global stability of a predatorโprey system with BeddingtonโDeAngelis and Tanner functional response. By using the iteration method and comparison principle, we prove the global asymptotic stability of the unique positive ...
Nai-Wei Liu, Na Li
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Global asymptotic stability for neural network models with distributed delays [PDF]
, 2009 In this paper, we obtain the global asymptotic stability of the zero solution of a general n-dimensional delayed differential system, by imposing a condition of dominance of the nondelayed terms which cancels the delayed effect.
Josรฉ J. Oliveira, Oliveira, Josรฉ J.
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Mathematics, 2020 In this article existence and uniqueness of the solutions of the initial problem for neutral nonlinear differential system with incommensurate order fractional derivatives in Caputo sense and with piecewise continuous initial function is proved.
Andrey Zahariev, Hristo Kiskinov
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