Results 211 to 220 of about 30,758 (253)

Integral Characterizations of Uniform Asymptotic and Exponential Stability with Applications

Mathematics of Control, Signals, and Systems, 2002
Integral 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
exaly   +3 more sources

Uniform Exponential Stability and Approximation in Control of a Thermoelastic System

SIAM Journal on Control and Optimization, 1994
Summary: 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
exaly   +3 more sources

On the uniform exponential stability of linear impulsive systems

2017 American Control Conference (ACC), 2017
This 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
exaly   +2 more sources

Uniform Exponential Practical Stability of Impulsive Perturbed Systems

Journal of Dynamical and Control Systems, 2007
The 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
exaly   +3 more sources

Uniform Exponential Stability for a Schrödinger Equation and Its Semidiscrete Approximation

IEEE Transactions on Automatic Control
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bao-Zhu Guo, Fu Zheng
exaly   +3 more sources

Uniform exponential stability of first-order dynamic equations with several delays

Applied Mathematics and Computation, 2012
The 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
exaly   +5 more sources

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