Results 21 to 30 of about 265,751 (279)
Practical Semiglobal Uniform Exponential Stability Of Nonlinear Nonautonomous Systems
Ukrainian Mathematical Journal, 2023 UDC 517.9 We solve the following twofold problem: In the first part, we deduce Lyapunov sufficient conditions for practical uniform exponential stability of nonlinear perturbed systems under different conditions for the perturbed term. The second part presents a converse Lyapunov theorem for the notion of semiglobal uniform exponential stability ...
Kicha, A., Hammami, M. A., Abbes, I.-E.
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Lyapunov Characterization of Uniform Exponential Stability for Nonlinear Infinite-Dimensional Systems [PDF]
IEEE Transactions on Automatic Control, 2022 In this paper we deal with infinite-dimensional nonlinear forward complete dynamical systems which are subject to external disturbances. We first extend the well-known Datko lemma to the framework of the considered class of systems. Thanks to this generalization, we provide characterizations of the uniform (with respect to disturbances) local, semi ...
Haidar, Ihab +3 more
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On Uniform Stability with Growth Rates of Stochastic Skew-Evolution Semiflows in Banach Spaces
Axioms, 2021 The main purpose of this paper is to study a more general concept of uniform stability in mean in which the uniform behavior in the classical sense is replaced by a weaker requirement with respect to some probability measure.
Tímea Melinda Személy Fülöp +2 more
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Mathematics, 2023 In this article, some new sufficient conditions for the exponential stability of nonlinear time-varying delay differential equations are given. An extension of the classical asymptotical stability theorem in terms of a Lyapunov–Razumikhin function is ...
Natalya O. Sedova, Olga V. Druzhinina
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Damped wave systems on networks: exponential stability and uniform approximations [PDF]
Numerische Mathematik, 2017 We consider a damped linear hyperbolic system modelling the propagation of pressure waves in a network of pipes. Well-posedness is established via semi-group theory and the existence of a unique steady state is proven in the absence of driving forces. Under mild assumptions on the network topology and the model parameters, we show exponential stability
Egger, H., Kugler, T.
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Polynomial stability of evolution operators in Banach spaces [PDF]
Opuscula Mathematica, 2011 The paper considers three concepts of polynomial stability for linear evolution operators which are defined in a general Banach space and whose norms can increase not faster than exponentially.
Megan Mihail +2 more
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Lyapunov sufficient conditions for uniform semiglobal exponential stability [PDF]
Automatica, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Advances in Difference Equations, 2021 This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi +3 more
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Multidimensional Thermoelasticity for Nonsimple Materials -- Well-Posedness and Long-Time Behavior [PDF]
, 2016 An initial-boundary value problem for the multidimensional type III thermoelaticity for a nonsimple material with a center of symmetry is considered. In the linear case, the well-posedness with and without Kelvin-Voigt and/or frictional damping in the ...
Anikushyn, Andrii, Pokojovy, Michael
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On the practical global uniform asymptotic stability of stochastic differential equations [PDF]
, 2015 The method of Lyapunov functions is one of the most effective ones for the investigation of stability of dynamical systems, in particular, of stochastic differential systems.
Caraballo, Tomas +2 more
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