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Stability and Stabilization of Nonlinear Systems

open access: yes, 1999
Aeyels, Dirk   +2 more
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Stability and stabilization of delay differential systems

Automatica, 1996
This paper considers the stability and stabilization of the following linear systems with delay \[ \dot y(t)= A_0y(t) +\sum^p_{i=1} A_iy (t-\tau_i) +EW(t), \quad t\geq t_0, \] under bounded additive disturbance. Conditions for respecting linear constraints and for asymptotic stability are obtained from a characterization of positive invariance ...
Jean-Claude Hennet, Sophie Tarbouriech
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Evaluation of Knee Stability and Stabilizing Systems

Radiology, 1967
Knee injuries are a major problem in competitive contact sports. During the past two years, the Radiology Department and the Sports Medicine Section of Orthopedic Surgery have been evaluating knee stability before and after knee surgery. For this purpose, tape recording of television fluoroscopy has been used.
A C, Kittleson   +2 more
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Stability and stabilization of homogeneous stochastic systems

52nd IEEE Conference on Decision and Control, 2013
This study considers homogeneous stochastic systems and shows their stability and stabilization. We define a homogeneous stochastic system as an extension of a homogeneous deterministic system. We show that homogeneous systems can exhibit exponential stability or finite-time stability according to the degree of homogeneity.
Kenta Hoshino   +3 more
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Stability of adaptively stabilized stochastic systems

IEEE Transactions on Automatic Control, 2001
Let \[ A(z)y_ k=C(z)w_ k,\quad y_ k=w_ k=0\quad\text{for}\;k\leq0, \] be a one-dimensional ARMA process, where \(A(z)=1+a_ 1z+\cdots+a_ pz^ p\) and \(C(z)=1+c_ 1z+\cdots+c_ rz^ r\) are coprime polynomials in backward shift operator \(z\) (\(zy_ k=y_ {k-1}\)), \(\{w_ k\}\) is a sequence of independent random variables with zero mean, \(\sup_ k E| w_ k| ^
Han-Fu Chen, Xian-Bing Cao, Haitao Fang
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Global stability and stabilization of polynomial systems

2007 46th IEEE Conference on Decision and Control, 2007
The problem of global stability and stabilization of polynomial systems is considered. Using semi-tensor product of matrices, an easily verifiable sufficient condition for the positivity of multi-variable polynomials is proposed. Assume a candidate of Lyapunov function is a polynomial, the above result provides a sufficient condition for the global ...
Daizhan Cheng, Hongsheng Qi
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Exponential stability and stabilization of nD systems

2015 54th IEEE Conference on Decision and Control (CDC), 2015
The paper considers nonlinear nD discrete and continuous systems described by a state-space model of the Roesser form where the property of exponential stability is characterized by use of a vector Lyapunov function. The property of exponential dissipativity is defined and a particular case of this property, termed exponential passivity, is used ...
Pavel V. Pakshin   +3 more
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Stability and stabilization of switched impulsive systems

2006 American Control Conference, 2006
Many practical systems in physics, biology, engineering, and information science exhibit impulsive dynamical behaviors due to abrupt changes at certain instants during the dynamical processes. In this paper, stability analysis and stabilization synthesis problems are investigated for switched impulsive systems which consisting of a family of linear ...
Guangming Xie, Long Wang 0001
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