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Razumikhin-Type Theorems on Exponential Stability of SDDEs Containing Singularly Perturbed Random Processes
Joint Authors
Mao, Xuerong
Yuan, Chenggui
Hu, Junhao
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper concerns Razumikhin-type theorems on exponential stability of stochastic differential delay equations with Markovian switching, where the modulating Markov chain involves small parameters.
The smaller the parameter is, the rapider switching the system will experience.
In order to reduce the complexity, we will “replace” the original systems by limit systems with a simple structure.
Under Razumikhin-type conditions, we establish theorems that if the limit systems are pth-moment exponentially stable; then, the original systems are pth-moment exponentially stable in an appropriate sense.
American Psychological Association (APA)
Hu, Junhao& Mao, Xuerong& Yuan, Chenggui. 2013. Razumikhin-Type Theorems on Exponential Stability of SDDEs Containing Singularly Perturbed Random Processes. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-503648
Modern Language Association (MLA)
Hu, Junhao…[et al.]. Razumikhin-Type Theorems on Exponential Stability of SDDEs Containing Singularly Perturbed Random Processes. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-503648
American Medical Association (AMA)
Hu, Junhao& Mao, Xuerong& Yuan, Chenggui. Razumikhin-Type Theorems on Exponential Stability of SDDEs Containing Singularly Perturbed Random Processes. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-503648
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503648