Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 19, Issue 6, Pages 2104-2114Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2013.10.008
Keywords
Impulsive stochastic functional differential systems; Delayed impulse; Exponential stability; Lyapunov function; Razumikhin technique
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Funding
- National Natural Science Foundation of China [11226247, 61273126, 11301004]
- Anhui Provincial Nature Science Foundation [1308085QA15]
- 211 Project of Anhui University [32030018, 33010205]
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This paper is concerned with the exponential stability analysis of impulsive stochastic functional differential systems with delayed impulses. Although the stability of impulsive stochastic functional differential systems have received considerable attention. However, relatively few works are concerned with the stability of systems with delayed impulses and our aim here is mainly to close the gap. Based on the Lyapunov functions and Razumikhin techniques, some exponential stability criteria are derived, which show that the system will stable if the impulses' frequency and amplitude are suitably related to the increase or decrease of the continuous flows. The obtained results improve and complement ones from some recent works. Three examples are discussed to illustrate the effectiveness and the advantages of the results obtained. (C) 2013 Elsevier B.V. All rights reserved.
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