Results 301 to 310 of about 610,121 (312)

Exponential stability revisited

International Journal of Control, 1987
Relationships between asymptotic stability and exponential stability are investigated. It is shown that asymptotically stable but not exponentially stable non-linear systems are structurally unstable and hence of little practical interest.
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On the exponential stability of discrete volterra systems

Journal of Difference Equations and Applications, 2000
In this paper necessary and sufficient conditions for the exponential stability of discrete linear Volterra systems are proved.
CRISCI M. R., KOLMANOVSKII V. B., RUSSO, ELVIRA, VECCHIO A.   +3 more
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On the stability of characterizations of the exponential distribution

Annals of the Institute of Statistical Mathematics, 1981
It is shown that if the distribution of min {X 1/a1, X2/a2,…, XN/aN} is close to that ofX 1, then the distribution is close to the exponential distribution.
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On the Exponential Stability of Singularly Perturbed Systems

SIAM Journal on Control and Optimization, 1992
For singularly perturbed systems \(\dot x=f(t,x,z,\mu)\), \(\mu\dot z=g(t,x,z,\mu)\), \textit{A. Saberi} and \textit{H. Khalil} [IEEE Trans. Autom. Control AC--29, 542-550 (1984; Zbl 0538.93049)] have shown that if both the reduced-order system \((\mu=0)\) and the boundary-layer system are exponentially stable, then also the full-order system is stable
M. CORLESS, GLIELMO L.
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Equivalence of input-output stability and exponential stability

Systems & Control Letters, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exponential stability for time dependent potentials

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1992
Let us consider the time dependent Hamiltonian \(H(x,y,t)=| y|^ 2/2+V(x,t)\) with \(x\in\mathbb{T}^ n\), \(y\in\mathbb{R}^ n\), \(t\in\mathbb{R}\). The flow \((x(t),y(t))\) of the corresponding Hamiltonian system is generally very chaotic and the component \(y(t)\) is unbounded.
A. Giorgilli, E. Zehnder
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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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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.
Claudia Valls, Luis Barreira
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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 Dragan, Toader Morozan, Adrian-Mihail Stoica   +2 more
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Stability of exponentially harmonic maps

Journal of Topology and Analysis, 2019
We show that any stable exponentially harmonic map from a compact Riemannian manifold into a compact simply-connected [Formula: see text]-pinched Riemannian manifold under certain circumstance is constant in two different versions. We also prove that a non-constant exponentially harmonic map from a compact hypersurface into a compact Riemannian ...
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