H ∞ Control of Singular Markovian Jump Systems with Bounded Transition Probabilities
Joint Authors
Lin, Hongsheng
Li, Ying
Wang, Guoliang
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-07
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper discusses H∞ control problems of continuous-time and discrete-time singular Markovian jump systems (SMJSs) with bounded transition probabilities.
Improved sufficient conditions for continuous-time SMJSs to be regular, impulse free, and stochastically stable with γ-disturbance attenuation are established via less conservative inequality to estimate the transition jump rates, so are the discrete-time SMJSs.
With the obtained conditions, the design of a state feedback controller which ensures the resulting closed-loop system to be stochastically admissible and with H∞ performance is given in terms of linear matrix inequalities (LMIs).
Finally, illustrative examples are presented to show the effectiveness and the benefits of the proposed approaches.
American Psychological Association (APA)
Lin, Hongsheng& Li, Ying& Wang, Guoliang. 2013. H ∞ Control of Singular Markovian Jump Systems with Bounded Transition Probabilities. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1009581
Modern Language Association (MLA)
Lin, Hongsheng…[et al.]. H ∞ Control of Singular Markovian Jump Systems with Bounded Transition Probabilities. Mathematical Problems in Engineering No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1009581
American Medical Association (AMA)
Lin, Hongsheng& Li, Ying& Wang, Guoliang. H ∞ Control of Singular Markovian Jump Systems with Bounded Transition Probabilities. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1009581
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009581