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On Input-to-State Stability of Impulsive Stochastic Systems with Time Delays
Joint Authors
Cheng, Pei
Qiu, Li
Shen, Hao
Yao, Fengqi
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper is concerned with pth moment input-to-state stability (p-ISS) and stochastic input-to-state stability (SISS) of impulsive stochastic systems with time delays.
Razumikhin-type theorems ensuring p-ISS/SISS are established for the mentioned systems with external input affecting both the continuous and the discrete dynamics.
It is shown that when the impulse-free delayed stochastic dynamics are p-ISS/SISS but the impulses are destabilizing, the p-ISS/SISS property of the impulsive stochastic systems can be preserved if the length of the impulsive interval is large enough.
In particular, if the impulse-free delayed stochastic dynamics are p-ISS/SISS and the discrete dynamics are marginally stable for the zero input, the impulsive stochastic system is p-ISS/SISS regardless of how often or how seldom the impulses occur.
To overcome the difficulties caused by the coexistence of time delays, impulses, and stochastic effects, Razumikhin techniques and piecewise continuous Lyapunov functions as well as stochastic analysis techniques are involved together.
An example is provided to illustrate the effectiveness and advantages of our results.
American Psychological Association (APA)
Yao, Fengqi& Cheng, Pei& Shen, Hao& Qiu, Li. 2014. On Input-to-State Stability of Impulsive Stochastic Systems with Time Delays. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014279
Modern Language Association (MLA)
Yao, Fengqi…[et al.]. On Input-to-State Stability of Impulsive Stochastic Systems with Time Delays. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1014279
American Medical Association (AMA)
Yao, Fengqi& Cheng, Pei& Shen, Hao& Qiu, Li. On Input-to-State Stability of Impulsive Stochastic Systems with Time Delays. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014279
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014279