Results 1 to 10 of about 148,648 (315)
Exponential stability and exponential instability for linear skew-product flows [PDF]
Mathematica Bohemica, 2004 Summary: We give characterizations for uniform exponential stability and uniform exponential instability of linear skew-product flows in terms of Banach sequence spaces and Banach function spaces, respectively. We present a unified approach for uniform exponential stability and uniform exponential instability of linear skew-product flows, extending ...
Megan, Mihail +2 more
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On Exponential Stability ofC0Semigroups
Journal of Mathematical Analysis and Applications, 1998 The authors consider \(C_0\)-semigroups \((T(t))_{t\geq 0}\) with generator A on Hilbert spaces X. They replace boundedness of \((T(t))_{t \geq 0}\) by an assumption on the domain of A and then characterize exponential stability of \((T(t))_{t \geq 0}\) by the boundedness of the resolvent \(R(i\tau, A)\), \(\tau \in \mathbb{R}\).
Luo, Yue-Hu, Feng, De-Xing
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Exponential stability and partial averaging
Journal of Mathematical Analysis and Applications, 2003 The initial value problem for the system \(\dot{x}(t)=\varepsilon f(\varepsilon t,t, x(t))\), \(x(t_{0})=x_{0}\), is considered, where \(\varepsilon >0\) is a small parameter. The corresponding partially averaged system is \(\dot{z}(t)=\varepsilon f^{0}(\varepsilon t,z(t))\), \(z(t_{0})=x_{0}\), with \(f^{0}(s,x)=\lim_{T\rightarrow \infty}\frac{1}{T ...
Grammel, G., Maizurna, Isna
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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.
Pheng-Ann Heng
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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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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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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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