p -Moment Stability of Stochastic Differential Delay Systems with Impulsive Jump and Markovian Switching
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-23
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper investigates p-moment stability of the stochastic differential delay systems with impulsive jump and Markovian switching.
Some stability criteria are obtained based on Lyapunov functional method and stochastic theory.
It is shown that, even if all the subsystems governing the continuous dynamics without impulse are not stable, as impulsive and switching signal satisfies a dwell-time upper bound condition, impulses can stabilize the systems in the p-moment stability sense.
The opposite situation is also developed for which all the subsystems governing the continuous dynamics are p-moment stable.
The results can be easily applied to stochastic systems with arbitrarily large delays.
The efficiency of the proposed results is illustrated by two numerical examples.
American Psychological Association (APA)
Gao, Lijun. 2013. p -Moment Stability of Stochastic Differential Delay Systems with Impulsive Jump and Markovian Switching. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009256
Modern Language Association (MLA)
Gao, Lijun. p -Moment Stability of Stochastic Differential Delay Systems with Impulsive Jump and Markovian Switching. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1009256
American Medical Association (AMA)
Gao, Lijun. p -Moment Stability of Stochastic Differential Delay Systems with Impulsive Jump and Markovian Switching. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009256
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009256