Exponential Admissibility andH∞Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach
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چکیده
منابع مشابه
Exponential Admissibility and H∞ Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach
This paper deals with the problems of exponential admissibility and H∞ control for a class of continuous-time switched singular systems with time-varying delay. The H∞ controllers to be designed include both the state feedback SF and the static output feedback SOF . First, by using the average dwell time scheme, the piecewise Lyapunov function, and the free-weighting matrix technique, an expone...
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This paper deals with the problem of exponential stability of linear switched delay systems. An average dwell time method is introduced into linear switched delay systems for the first time and LMIs’ conditions are presented to guarantee robust exponential stability of such systems. A lower bound of average dwell time is given. Exponential decay estimates for the states of such systems are also...
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Discrete-time switched linear systems where switchings are governed by a digraph are considered. The minimum (or average) dwell time that guarantees the asymptotic stability can be computed by calculating the maximum cycle ratio (or maximum cycle mean) of a doubly weighted digraph where weights depend on the eigenvalues and eigenvectors of subsystem matrices. The graph-based method is applied t...
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It is shown that switching among stable linear systems results in a stable system provided that switching is “slow-on-the-average.” In particular, it is proved that exponential stability is achieved when the number of switches in any finite interval grows linearly with the length of the interval, and the growth rate is sufficiently small. Moreover, the exponential stability is uniform over all ...
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The stability properties of linear switched systems consisting of both Hurwitz stable and unstable subsystems are investigated by using piecewise Lyapunov functions incorporated with an average dwell time approach. It is shown that if the average dwell time is chosen sufficiently large and the total activation time ratio between Hurwitz stable and unstable subsystems is not smaller than a speci...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2012
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2012/482792