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On the exponential stability of discrete volterra systems
Journal of Difference Equations and Applications, 2000In this paper necessary and sufficient conditions for the exponential stability of discrete linear Volterra systems are proved.
CRISCI M. R.+3 more
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On the stability of characterizations of the exponential distribution
Annals of the Institute of Statistical Mathematics, 1981It 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, 1992For 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, 1989zbMATH 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, 1992Let 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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Damped wave systems on networks: exponential stability and uniform approximations
Numerische Mathematik, 2016We consider a damped linear hyperbolic system modeling 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 ...
H. Egger, T. Kugler
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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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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 of nonlinear state-dependent delayed impulsive systems with applications
, 2021Zhilu Xu, Xiaodi Li, V. Stojanovic
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Nonuniform exponential stability and admissibility
Linear and Multilinear Algebra, 2015For 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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IEEE Transactions on Neural Networks and Learning Systems, 2020
Yao Xu, Shan Gao, Wenxue Li
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Yao Xu, Shan Gao, Wenxue Li
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