Results 11 to 20 of about 30,758 (253)
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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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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A condition of uniform exponential stability for semigroups [PDF]
Mathematical Inequalities & Applications, 2008 The aim of this paper is to prove that the uniform exponential stability of a strongly continuous semigroup fT(t)gt 0 (acting on a complex Hilbert space H) can be derived as a con- sequence of the well behavior of its numerical range in a suitable Orlicz space. More precisely, assuming that there exists an Orlicz space E = (L ; ) over R+ such that
Constantin Buşe +1 more
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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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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
Herbert Egger, Thomas Kugler
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New Fundamental Results on the Continuous and Discrete Integro-Differential Equations
Mathematics, 2022 This work studies certain perturbed and un-perturbed nonlinear systems of continuous and discrete integro-delay differential equations (IDDEs). Using the Lyapunov–Krasovskii functional (LKF) method and the Lyapunov–Razumikhin method (LRM), uniform ...
Osman Tunç +3 more
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Stabilization of a certain class of fuzzy control systems with uncertainties
Archives of Control Sciences, 2017 In this paper, we investigate the global uniform practical exponential stability for a class of uncertain Takagi-Sugeno fuzzy systems. The uncertainties are supposed uniformly to be bounded by some known integrable functions to obtain an exponential ...
Taieb Nizar Hadj +2 more
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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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Representation Theorem for Stochastic Differential Equations in Hilbert Spaces and its Applications [PDF]
Surveys in Mathematics and its Applications, 2006 In this survey we recall the results obtained in [Ungureanu,Electronic Journal of Qualitative Theory of Differential Equations, 2004] where we gave a representation theorem for the solutions of stochastic differential equations in Hilbert spaces.
Viorica Mariela Ungureanu
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Abstract and Applied Analysis, 2011 We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, 𝜓-uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on ...
Kanit Mukdasai, Piyapong Niamsup
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