منابع مشابه
A Note on Stability of Time Delay Systems
This paper considers the robust stability of time delay systems by means of quadratic separation theory. Using this formalism both delay independent and delay dependent criteria are provided. In the nominal case, without uncertainties, our result is shown to be equivalent to other LMI-based results from the literature. Finally, an academic example is provided to show the effectiveness of this r...
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This nice result is proved by using the fact that the zero solution of the linear difference equation is asymptotically stable if and only if all the roots of its associated characteristic equation are inside the unit disk. Here, the Schur-Cohn criterion (see [2, 5]) and the Jury criterion (see [3]) are known to be effective tools for determining the asymptotic stability of linear difference sy...
متن کاملStability of Time-Delay Systems
The importance of time delays in control is now well recognized in a wide range of applications (transportation systems, communication networks, teleoperation systems, etc.). However, even if some fundamental results were obtained 40 years ago during the early space explorations (Bellman & Cooke, 1963; Morse, 1976; Kamen, 1978; Manitius & Triggiani, 1978), time-delay systems have actually been ...
متن کاملFinite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay
In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...
متن کاملComments on finite-time stability of time-delay systems
Recently proposed conditions on finite-time stability in time-delay systems are revisited and it is shown that they are incorrect. General comments on possibility of finite-time convergence in time-delay systems and a necessary condition are given. © 2014 Elsevier Ltd. All rights reserved.
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ژورنال
عنوان ژورنال: IFAC Proceedings Volumes
سال: 2006
ISSN: 1474-6670
DOI: 10.3182/20060705-3-fr-2907.00095