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Practical stability and stabilization

IEEE Transactions on Automatic Control, 2000
Summary: We present a practical stability result for dynamical systems depending on a small parameter. This result is applied to a practical stability analysis of fast time-varying systems studied in averaging theory, and of highly oscillatory systems studied by Sussmann and Liu.
L Moreau
exaly   +3 more sources

Practical stability and stabilization of hybrid and switched systems

IEEE Transactions on Automatic Control, 2004
In this paper, practical stability and stabilization problems for hybrid and switched systems are studied. We formally introduce the notions of e-practical stability and practical stabilizability. The main results of the paper include a direct method for the e-practical stability analysis of hybrid systems and sufficient conditions for the practical ...
Xuping Xu, Guisheng Zhai
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Stability of Attendance in General Practice

Family Practice, 1994
Data on the attendances of all patients at three general practices in Western Australia for two 6-month periods 11 months apart were collected as part of a previous study. The present study examined the stability of the attendance patterns of the patients over the two study periods in terms of number of patients, number of visits and diagnoses.
A M, Ward   +3 more
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On practical stability of switched systems

Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2003
In practice, one is not only interested in the qualitative characterizations provided by Lyapunov stability, but also in quantitative information concerning system behavior, including estimates of trajectory bounds, possibly over finite time intervals.
Guisheng Zhai, Anthony N. Michel
openaire   +1 more source

Practical stability and stabilization of linear systems

2009 17th Mediterranean Conference on Control and Automation, 2009
In this paper practical stability and stabilization of linear continuous systems, modeled in state space and subject to state norm constraints, are considered. First, we provide condition for practical stability using the norm of the transition matrix.
Walid Ben Mabrouk   +2 more
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Impulsive differential systems: The problem of stability and practical stability

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Borysenko, S. D., Toscano, Speranza
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On practical stability

International Journal of Control, 1973
In this paper, a class of non-linear non-autonomous systems with multiple non-linearities is considered. Sufficient conditions are developed for a type of practical stability with specified settling time. The conditions are independent of the actual Form of the non-linear characteristics so that they can be interpreted as conditions for ‘absolute ...
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Practical Aspects of System Stability

Transactions of the American Institute of Electrical Engineers, 1926
During the past few years there has been much discussion regarding the behavior of long transmission lines under transient conditions, such as flashovers, short circuits, arcs and grounds which would tend to make them unstable, but unfortunately this discussion has been largely theoretical due to the absence of any actual operating data upon which to ...
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