Results 321 to 330 of about 4,196,277 (360)

Mean square exponential stability

2009
The problem of mean square exponential stability for a class of discrete-time linear stochastic systems subject to independent random perturbations and Markovian switching is investigated. Four different definitions of the concept of exponential stability in the mean square are introduced and it is shown that they are not always equivalent.
Vasile Drăgan, Toader Morozan, Adrian-Mihail Stoica   +2 more
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Exponential Stability of Two-Dimensional Homogeneous Monotone Systems With Bounded Directional Delays

IEEE Transactions on Automatic Control, 2018
One-dimensional (1-D) monotone systems have received considerable attention recently due to their wide applicability and interesting mathematical properties.
Le Van Hien, H. Trinh
semanticscholar   +1 more source

Uniform exponential stability

1996
In this chapter we shall study the uniform growth bound ω0(T) in more detail. Our main concern is finding necessary and sufficient conditions for uniform exponential stability.
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Exponential stability and stabilization of nD systems

2015 54th IEEE Conference on Decision and Control (CDC), 2015
The paper considers nonlinear nD discrete and continuous systems described by a state-space model of the Roesser form where the property of exponential stability is characterized by use of a vector Lyapunov function. The property of exponential dissipativity is defined and a particular case of this property, termed exponential passivity, is used ...
Pavel Pakshin, Julia Emelianova, Krzysztof Galkowski, Eric Rogers   +3 more
openaire   +1 more source

ON EXPONENTIAL ASYMPTOTIC STABILITY IN LINEAR VISCOELASTICITY

Mathematical Models and Methods in Applied Sciences, 2006
This paper establishes results concerning the exponential decay of strong solutions of a linear hyperbolic integrodifferential equation in Hilbert space. Rather than the more commonly used assumptions that the relaxation function is non-negative, decreasing and convex, dissipation is modelled by requiring that the dynamic viscosity be a positive ...
J. Appleby, FABRIZIO, MAURO, LAZZARI, BARBARA, D. Reynolds   +3 more
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On Uniform Exponential Stability of Exponentially Bounded Evolution Families

Integral Equations and Operator Theory, 2008
A result of Barbashin ([1], [15]) states that an exponentially bounded evolution family $$\{U(t, s)\}_{t \geq s \geq 0}$$ defined on a Banach space and satisfying some measurability conditions is uniformly exponentially stable if and only if for some 1 ≤ p 0$$
Buşe, Constantin, Choudary, A. D. R, Dragomir, Sever S, Prajea, M. S   +3 more
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Exponential Stability via the Averaged System

Journal of Dynamical and Control Systems, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonuniform exponential stability and admissibility

Linear and Multilinear Algebra, 2015
For cocycles defined by sequences of linear operators in a Banach space, we study the relation between the notions of nonuniform exponential stability and admissibility. The latter refers to the existence of bounded solutions for any bounded nonlinear perturbation of the original cocycle.
Luis Barreira, Claudia Valls
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Exponential Stability by the Linear Approximation

Differential Equations, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exponentially harmonic maps, exponential stress energy and stability

Communications in Contemporary Mathematics, 2016
We study the exponential stress energy associated to an exponentially harmonic map between Riemannian manifolds. We prove three equivalent statements for a horizontally weakly conformal exponentially harmonic map between Riemannian manifolds. We also investigate the stability of exponentially harmonic maps.
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