Boundedness of Stochastic Delay Differential Systems with Impulsive Control and Impulsive Disturbance
Joint Authors
Ding, Xiaohua
Yang, Baoqing
Wang, Liming
Wu, Kaining
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper considers the p-moment boundedness of nonlinear impulsive stochastic delay differential systems (ISDDSs).
Using the Lyapunov-Razumikhin method and stochastic analysis techniques, we obtain sufficient conditions which guarantee the p-moment boundedness of ISDDSs.
Two cases are considered, one is that the stochastic delay differential system (SDDS) may not be bounded, and how an impulsive strategy should be taken to make the SDDS be bounded.
The other is that the SDDS is bounded, and an impulsive disturbance appears in this SDDS, then what restrictions on the impulsive disturbance should be adopted to maintain the boundedness of the SDDS.
Our results provide sufficient criteria for these two cases.
At last, two examples are given to illustrate the correctness of our results.
American Psychological Association (APA)
Wang, Liming& Yang, Baoqing& Ding, Xiaohua& Wu, Kaining. 2015. Boundedness of Stochastic Delay Differential Systems with Impulsive Control and Impulsive Disturbance. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074526
Modern Language Association (MLA)
Wang, Liming…[et al.]. Boundedness of Stochastic Delay Differential Systems with Impulsive Control and Impulsive Disturbance. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1074526
American Medical Association (AMA)
Wang, Liming& Yang, Baoqing& Ding, Xiaohua& Wu, Kaining. Boundedness of Stochastic Delay Differential Systems with Impulsive Control and Impulsive Disturbance. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074526
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074526