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A Novel Method for Motion Blur Detection and Quantification Using Signal Analysis on a Controlled Empirical Image Dataset. [PDF]
Nonsakhoo W, Saiyod S.
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Designing network based intervention strategies for epidemics of infectious diseases from edge based infection probability. [PDF]
Halász V, Rocklöv J.
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Integral Characterizations of Uniform Asymptotic and Exponential Stability with Applications
Mathematics of Control, Signals, and Systems, 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.
Andrew R Teel +2 more
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Uniform Exponential Stability and Approximation in Control of a Thermoelastic System
SIAM Journal on Control and Optimization, 1994Summary: This paper has two objectives. First, necessary and sufficient conditions are given to characterize the uniform exponential stability of a sequence of \(c_ 0\)-semigroups \(T_ n (t)\) on Hilbert space \(H_ n\). Secondly, approximation in control of a one-dimensional thermoelastic system, subject to Dirichlet-Dirichlet as well as Dirichlet ...
Zhuangyi Liu
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On the uniform exponential stability of linear impulsive systems
2017 American Control Conference (ACC), 2017This paper further investigates a type of exponential stability for linear impulsive systems that is uniform with respect to the set of impulse times. The point of departure is a Lie-algebraic analysis previously developed for linear impulsive systems initially motivated by existing stability conditions for linear switched systems.
Douglas A Lawrence
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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,\\
Mohsen Dlala, Mohamed Ali Hammami
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Uniform Exponential Stability for a Schrödinger Equation and Its Semidiscrete Approximation
IEEE Transactions on Automatic ControlzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bao-Zhu Guo, Fu Zheng
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Uniform exponential stability of first-order dynamic equations with several delays
Applied Mathematics and Computation, 2012The authors study exponential stability of the delay dynamic equation \[ x^{\Delta}(t)+\sum_{i\in[1,n]_{\mathbb{N}}} A_i(t)x(\alpha_i(t))=0\quad \text{for } t\in[t_0,\infty)_{\mathbb T},\tag{1} \] where \(n\in\mathbb N\), \(\mathbb T\) is a time scale unbounded above, \(t_0\in\mathbb T\); also, for all \(i\in[1,n]_{\mathbb N}\), \(A_i\in C_{rd}([t_0 ...
Elena Braverman, Basak Karpuz
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