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Mathematical Methods in the Applied Sciences
Article . 2012 . Peer-reviewed
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Impulsive control for differential systems with delay

Impulsive control for differential systems with delay
descriptionPublicationkeyboard_double_arrow_right Article 23 Jul 2012 China (People's Republic of) English Publisher:WileyJournal:Mathematical Methods in the Applied Sciences, volume 36, pages 967-973 (issn: 0170-4214, eissn: 1099-1476, Copyright policy )
Authors: Wang, Huali; Ding, Changming;

doi: 10.1002/mma.2653

Impulsive control for differential systems with delay

Abstract

This paper deals with the impulsive control for a class of differential systems with delay. Using Lyapunov functions and the comparison principle, we present some sufficient conditions for the asymptotic stability and exponential stability of impulsive control systems with delay. Moreover, we give an estimate of the upper bound of impulse interval. The results in this paper extend and improve the earlier publications. Copyright © 2012 John Wiley & Sons, Ltd.

Country
China (People's Republic of)
Related Organizations
Keywords

Differential equations, Control problems for functional-differential equations, STABILIZATION, STABILITY, Stability theory of functional-differential equations, TIME-DELAY, Functional-differential equations with impulses, CHAOTIC SYSTEMS, impulsive differential systems, stability, System stability, DESIGN, SYNCHRONIZATION, nonlinear dynamical systems, Lyapunov functions

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    popularity
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Top 10%
Top 10%
Top 10%
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