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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 ...
Andrieu, Vincent +2 more
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Global exponential stability of delayed periodic dynamical systems [PDF]
, 2004 In this paper, we discuss delayed periodic dynamical systems, compare capability of criteria of global exponential stability in terms of various $L^{p}$ ($1\le ...
Yanxu Zheng, Tianping Chen
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On the stability of exponential backoff
Journal of Research of the National Institute of Standards and Technology, 2003 Random access schemes for packet networks featuring distributed control require algorithms and protocols for resolving packet collisions that occur as the uncoordinated terminals contend for the channel. A widely used collision resolution protocol is the exponential backoff (EB).
Nah-Oak Song +2 more
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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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The stability of the exponential equation [PDF]
Proceedings of the American Mathematical Society, 1996 The functional inequality \(|f(x+ y)- f(x) f(y) |\leq \varepsilon\) where \(f: S\to \mathbb{C}\), \(S\), semigroup, \(\mathbb{C}\) the complex numbers known as stability of the exponential function has been studied by many authors. In this paper the authors study the modified form \[ \biggl|{{f(x+ y)} \over {f(x) f(y)}} -1\biggr|\leq \varepsilon \tag{1}
Peter Šemrl, Roman Ger
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Exponential stability in thermoelasticity with microtemperatures [PDF]
International Journal of Engineering Science, 2005 This article is concerned with a linear theory for elastic materials with inner structure, whose particles in addition to the classical displacement, possess microtemperatures. In the main part of the paper we restrict our attention to the one-dimensional problem.
Sánchez Casas, José Pablo +1 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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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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