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Impulsive control for differential systems with delay
Author(s) -
Wang Huali,
Ding Changming
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2653
Subject(s) - mathematics , exponential stability , impulse (physics) , control theory (sociology) , impulse control , lyapunov function , upper and lower bounds , interval (graph theory) , class (philosophy) , stability (learning theory) , differential equation , delay differential equation , control (management) , mathematical analysis , computer science , nonlinear system , combinatorics , psychology , physics , quantum mechanics , artificial intelligence , psychotherapist , machine learning
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.