Stochastic Finite-Time Guaranteed Cost Control of Markovian Jumping Singular Systems
Joint Authors
Zhang, Yingqi
Mu, Xiaowu
Liu, Caixia
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-22
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
The problem of stochastic finite-time guaranteed cost control is investigated for Markovian jumping singular systems with uncertain transition probabilities, parametric uncertainties, and time-varying norm-bounded disturbance.
Firstly, the definitions of stochastic singular finite-time stability, stochastic singular finite-time boundedness, and stochastic singular finite-time guaranteed cost control are presented.
Then, sufficient conditions on stochastic singular finite-time guaranteed cost control are obtained for the family of stochastic singular systems.
Designed algorithms for the state feedback controller are provided to guarantee that the underlying stochastic singular system is stochastic singular finite-time guaranteed cost control in terms of restricted linear matrix equalities with a fixed parameter.
Finally, numerical examples are given to show the validity of the proposed scheme.
American Psychological Association (APA)
Zhang, Yingqi& Liu, Caixia& Mu, Xiaowu. 2011. Stochastic Finite-Time Guaranteed Cost Control of Markovian Jumping Singular Systems. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-471774
Modern Language Association (MLA)
Zhang, Yingqi…[et al.]. Stochastic Finite-Time Guaranteed Cost Control of Markovian Jumping Singular Systems. Mathematical Problems in Engineering No. 2011 (2011), pp.1-20.
https://search.emarefa.net/detail/BIM-471774
American Medical Association (AMA)
Zhang, Yingqi& Liu, Caixia& Mu, Xiaowu. Stochastic Finite-Time Guaranteed Cost Control of Markovian Jumping Singular Systems. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-471774
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471774