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Uniform Exponential Practical Stability of Impulsive Perturbed Systems
Journal of Dynamical and Control Systems, 2007The authors consider the impulsive differential equation \[ \dot x= f(t,x),\quad t\neq t_k,\quad\Delta x= I_k(x),\quad t= t_k,\quad k=1,2,3,\dots,\tag{1} \] where \(0< t_1< t_2< t_3\cdots\), \(t_k\to\infty\) as \(k\to\infty\), \(I_k(0)= 0\), \(f(t,0)= 0\) and the perturbed impulsive equation \[ \begin{gathered} \dot x= f(t,x)+ g(t, x),\quad t\neq t_k,\\
Dlala, Mohsen, Hammami, Mohamed Ali
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Uniform exponential stability of linear time-varying systems: revisited
Systems & Control Letters, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Loría, Antonio, Panteley, Elena
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Uniform exponential stability of linear delayed integro-differential vector equations
Journal of Differential Equations, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berezansky, Leonid +3 more
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Uniform exponential stabilization of coupled Euler-Bernoulli beams
The 23rd IEEE Conference on Decision and Control, 1984A large flexible space structure consists of a large number of components coupled end to end in the form of a chain. In this paper, we consider the simplest type of such structures which is formed by N coupled Euler-Bernoulli beams. When these N beams are strongly connected at all intermediate nodes and their material coefficients satisfy certain ...
Goong Chen, Michel Delfour, Allan Krall
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On uniform exponential stability of linear switching system
Mathematical Methods in the Applied Sciences, 2018We prove that the linear switching system , where is bounded valued square matrices and ϑ:[0,1,2,…)→Ω is an arbitrary switching signals, is uniformly exponentially stable if the sequence is bounded, where s(k) is bounded valued sequence.
Akbar Zada, Bakht Zada
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Integral Characterizations of Uniform Asymptotic and Exponential Stability with Applications
Mathematics of Control, Signals, and Systems (MCSS), 2002Integral characterizations of uniform global asymptotic stability (UGAS) and uniform global exponential stability (UGES) for time-varying differential inclusions are proved. These integral characterizations are used to conclude UGAS from uniform global stability (UGS) and suitable properties of the derivatives of a family of functions.
Teel, Andrew +2 more
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Uniform exponential stability for parameterized linear "skew-symmetric" systems
2001 European Control Conference (ECC), 2001We address the problem of establishing exponential stability for parameterized families of linear time-varying systems, uniformly in ‘the’ parameter. Our contribution is specifically for "skew-symmetric" systems (the use of quotes " " is motivated by having one non-zero element in the main diagonal).
E. Panteley, A. Loria
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Uniform exponential stability of solutions to abstract Volterra equations
Journal of Evolution Equations, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Jian-Hua, Xiao, Ti-Jun, Liang, Jin
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