Finite-Time Stability and Stabilization of Itô-Type Stochastic Singular Systems
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-14
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper is concerned with the finite-time stability and stabilization problems for linear Itô stochastic singular systems.
The condition of existence and uniqueness of solution to such class of systems are first given.
Then the concept of finite-time stochastic stability is introduced, and a sufficient condition under which an Itô stochastic singular system is finite-time stochastic stable is derived.
Moreover, the finite-time stabilization is investigated, and a sufficient condition for the existence of state feedback controller is presented in terms of matrix inequalities.
In the sequel, an algorithm is given for solving the matrix inequalities arising from finite-time stochastic stability (stabilization).
Finally, two examples are employed to illustrate our results.
American Psychological Association (APA)
Yan, Zhiguo& Zhang, Weihai. 2014. Finite-Time Stability and Stabilization of Itô-Type Stochastic Singular Systems. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1013590
Modern Language Association (MLA)
Yan, Zhiguo& Zhang, Weihai. Finite-Time Stability and Stabilization of Itô-Type Stochastic Singular Systems. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1013590
American Medical Association (AMA)
Yan, Zhiguo& Zhang, Weihai. Finite-Time Stability and Stabilization of Itô-Type Stochastic Singular Systems. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1013590
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013590