Results 231 to 240 of about 30,758 (253)

Uniform exponential stability of solutions to abstract Volterra equations

Journal of Evolution Equations, 2009
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Chen, Jian-Hua, Xiao, Ti-Jun, Liang, Jin
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A sufficient condition for the uniform exponential stability of time-varying systems with noise

Nonlinear Analysis: Theory, Methods & Applications, 2004
Consider the multi-scale initial value problems of ordinary differential equations of the form \[ \dot{x}_\varepsilon = f \left(\frac{t}{\varepsilon},x_\varepsilon(t),\xi(t)\right), \quad x_\varepsilon(0)=x_0 \in \mathbb R^n , \] where \(\xi : [0,+\infty) \to M\) is a measurable, deterministic function representing noise with values in a compact metric
Grammel, G., Maizurna, Isna
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Uniform exponential stabilization of nonlinear systems in Banach spaces

Mathematical Methods in the Applied Sciences, 2020
This paper presents necessary and sufficient conditions for uniform exponential stabilization of a class of nonlinear systems in Banach state spaces. The stabilization assumptions are formulated in terms of integral estimates involving the control operator and the state of the uncontrolled version of the system at hand.
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On uniform exponential stability for skew-evolution semiflows on Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 2010
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Stoica, Codruţa, Megan, Mihail
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A NOTE OF UNIFORM EXPONENTIAL STABILIZATION FOR NONCONTRACTIVE SEMIGROUPS UNDER COMPACT PERTURBATION

Acta Mathematica Scientia, 1994
Summary: Let \(S(t)\), \(t\geq 0\), be a strongly continuous semigroup on a Banach space, with infinitesimal generator \(A\). The main results are as follows: Let either \(S(t)\) or \(S^*(t)\) be uniformly stable as \(t\to +\infty\), yet not uniformly exponentially stable as \(t\to +\infty\). Then for any compact operator \(B\) on \(X\), the semigroup \
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Uniform approximation of exponential stability for 1-D wave equation with potential

European Journal of Control
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Jiankang Liu, Bao-Zhu Guo
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Uniform exponential stability for evolution families that are not exponentially bounded

Acta Scientiarum Mathematicarum, 2014
Raluca Murşan, Petre Preda
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On the equivalence between the uniform exponential stability of a $$C_0$$-semigroup and the boundedness of the resolvent

Semigroup Forum
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Order reduction-based uniform approximation of exponential stability for one-dimensional Schrödinger equation

Systems and Control Letters, 2022
Bao-Zhu Guo
exaly  

Exponential Stability and Uniform Exponential Stability of Dynamic Equations on Time Scales

Journal of Advanced Research in Applied Mathematics, 2013
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