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Estimate of exponential convergence rate and exponential stability for neural networks [PDF]
IEEE Transactions on Neural Networks, 1999 Estimate of exponential convergence rate and exponential stability are studied for a class of neural networks which includes the Hopfield neural networks and the cellular neural networks. Both local and global exponential convergence is discussed.
P A Heng
exaly +3 more sources
Open Research Europe, 2023 European Financial Stability Facility (EFSF) and European Stability Mechanism (ESM) were set up at the peak of the European sovereign debt crisis to issue bonds and lend to countries under current funding stress.
Marko Mravlak +2 more
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Practical Exponential Stability of Impulsive Stochastic Food Chain System with Time-Varying Delays
Mathematics, 2022 This paper studies the practical exponential stability of an impulsive stochastic food chain system with time-varying delays (ISOFCSs). By constructing an auxiliary system equivalent to the original system and comparison theorem, the existence of global ...
Yuxiao Zhao, Linshan Wang
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Exponential stability for a class of set dynamic equations on time scales
Journal of Inequalities and Applications, 2022 We first present a new definition for some form of exponential stability of solutions, including H-exponential stability, H-exponentially asymptotic stability, H-uniformly exponential stability, and H-uniformly exponentially asymptotic stability for a ...
Keke Jia +3 more
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DECOMPOSITION OF Cm THROUGH Q-PERIODIC DISCRETE EVOLUTION FAMILY [PDF]
Matrix Science Mathematic, 2019 Let U={U (m,n) : m,n ∈ Z+} n≥m≥0 be the q-periodic discrete evolution family of square size matrices of order m having complex scalars as entries generated by L(C^m-valued, q-periodic sequence of square size matrices (An)n∈Z+ where q≥2 is a natural ...
Akbar Zada, Hafiz Ullah
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Transverse Exponential Stability and Applications [PDF]
IEEE Transactions on Automatic Control, 2016 We investigate how the following properties are related to each other: i)-A manifold is "transversally" exponentially stable; ii)-The "transverse" linearization along any solution in the manifold is exponentially stable; iii)-There exists a field of positive definite quadratic forms whose restrictions to the directions transversal to the manifold are ...
Vincent Andrieu +2 more
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Mathematics, 2023 For this paper, we consider the almost sure exponential stability of uncertain stochastic Hopfield neural networks based on subadditive measures. Firstly, we deduce two corollaries, using the Itô–Liu formula. Then, we introduce the concept of almost sure
Zhifu Jia, Cunlin Li
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Characterizations of Global Transversal Exponential Stability [PDF]
IEEE Transactions on Automatic Control, 2021 We study the relationship between the global exponential stability of an invariant manifold and the existence of a positive semi-definite Riemannian metric which is contracted by the flow. In particular, we investigate how the following properties are related to each other (in the global case): i).
Vincent Andrieu +2 more
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Exponential Stability of Evolutionary Equations [PDF]
, 2021 AbstractIn this chapter we study the exponential stability of evolutionary equations. Roughly speaking, exponential stability of a well-posed evolutionary equation $$\displaystyle \left (\partial _{t,\nu }M(\partial _{t,\nu })+A\right )U=F $$ ∂
Christian Seifert +2 more
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Stability of Cayley dynamic systems with impulsive effects
Journal of Inequalities and Applications, 2023 Linear dynamic systems with impulsive effects are considered. For such a system we define a new impulsive exponential matrix. Necessary and sufficient conditions for exponential stability and boundedness have been established.
Awais Younus +4 more
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