Results 1 to 10 of about 30,758 (253)

On the uniform exponential stability of linear time-delay systems [PDF]

International Journal of Mathematics and Mathematical Sciences, 2004
This paper deals with the global uniform exponential stability independent of delay of time-delay linear and time-invariant systems subject to point and distributed delays for the initial conditions being continuous real functions except possibly on a ...
M. de la Sen, Ningsu Luo
doaj   +5 more sources

On the uniform exponential stability of linear skew-product semiflows [PDF]

Journal of Function Spaces and Applications, 2006
The problem of uniform exponential stability of linear skew-product semiflows on locally compact metric space with Banach fibers, is discussed. It is established a connection between the uniform exponential stability of linear skewproduct semiflows and ...
Ciprian Preda
doaj   +2 more sources

Integral Characterizations for Uniform Stability with Growth Rates in Banach Spaces

Axioms, 2021
The aim of this paper is to present some integral characterizations for the concept of uniform stability with growth rates in Banach spaces. In this sense, we prove necessary and sufficient conditions (of Barbashin and Datko type) for an evolution ...
Rovana Boruga (Toma), Mihail Megan, Daniela Maria-Magdalena Toth   +2 more
doaj   +3 more sources

On Uniform Exponential Stability and Exact Admissibility of Discrete Semigroups [PDF]

International Journal of Differential Equations, 2013
We prove that a discrete semigroup 𝕋={T(n):n∈ℤ+} of bounded linear operators acting on a complex Banach space X is uniformly exponentially stable if and only if, for each x∈AP0(ℤ+,X), the sequence n↦∑k=0n‍T(n-k)x(k):ℤ+→X belongs to AP0(ℤ+,X).
Aftab Khan, Gul Rahmat, Akbar Zada
doaj   +3 more sources

Lyapunov sufficient conditions for uniform semiglobal exponential stability [PDF]

Automatica, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kristin Y Pettersen
exaly   +4 more sources

Lyapunov Characterization of Uniform Exponential Stability for Nonlinear Infinite-Dimensional Systems [PDF]

IEEE Transactions on Automatic Control, 2022
In this paper we deal with infinite-dimensional nonlinear forward complete dynamical systems which are subject to external disturbances. We first extend the well-known Datko lemma to the framework of the considered class of systems. Thanks to this generalization, we provide characterizations of the uniform (with respect to disturbances) local, semi ...
Ihab Haidar, Yacine Chitour, Paolo Mason   +2 more
exaly   +4 more sources

A Note on Uniform Exponential Stability of Linear Periodic Time-Varying Systems [PDF]

IEEE Transactions on Automatic Control, 2020
In this paper we derive new criterion for uniform stability assessment of the linear periodic time-varying systems $\dot x=A(t)x,$ $A(t+T)=A(t).$ As a corollary, the lower and upper bounds for the Floquet characteristic exponents are established. The approach is based on the use of logarithmic norm of the system matrix $A(t).$ Finally we analyze the ...
Robert Vrábel
exaly   +3 more sources

On relation between uniform asymptotic stability and exponential stability of linear differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2015
We present such a restriction on parameters of linear functional differential equations of retarded type that is sufficient for the uniform asymptotic stability of an equation to be equivalent to its exponential stability.
Andrew Kulikov, Vera Malygina
doaj   +2 more sources

Uniform exponential stability of linear periodic systems in a Banach space

Electronic Journal of Differential Equations, 2001
This article is devoted to the study of linear periodic dynamical systems, possessing the property of uniform exponential stability. It is proved that if the Cauchy operator of these systems possesses a certain compactness property, then the asymptotic ...
David N. Cheban
doaj   +2 more sources

On Uniform Stability with Growth Rates of Stochastic Skew-Evolution Semiflows in Banach Spaces

Axioms, 2021
The main purpose of this paper is to study a more general concept of uniform stability in mean in which the uniform behavior in the classical sense is replaced by a weaker requirement with respect to some probability measure.
Tímea Melinda Személy Fülöp, Mihail Megan, Diana Ioana Borlea(Pătraşcu)   +2 more
doaj   +1 more source