Delay-Dependent H∞ Control for Descriptor Markovian Jump Systems with Time-Varying Delay
Joint Authors
Li, Jinghao
Zhang, Qing-ling
Zhang, Yi
Zhai, Ding
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-07
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper is concerned with the delay-dependent H∞ control problem for continuous-time descriptor Markovian jump systems with time-varying delay.
By constructing various Lyapunov-Krasovskii functionals for different subsystems, together with delay decomposition method, a new delay-dependent bounded real lemma (BRL) is derived, under which descriptor Markovian jump time-delay systems are regular, impulse-free, and stochastically stable and satisfy a prescribed H∞ performance level.
Since the reciprocally convex combination approach is adopted to estimate the upper bound of the integral terms, the BRL obtained in this paper is less conservative than some existing ones.
Based on the proposed BRL, a sufficient condition for the existence of state feedback controller is provided.
Finally, three numerical examples are provided to demonstrate the validity of the proposed methods.
American Psychological Association (APA)
Li, Jinghao& Zhang, Qing-ling& Zhai, Ding& Zhang, Yi. 2013. Delay-Dependent H∞ Control for Descriptor Markovian Jump Systems with Time-Varying Delay. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-480306
Modern Language Association (MLA)
Li, Jinghao…[et al.]. Delay-Dependent H∞ Control for Descriptor Markovian Jump Systems with Time-Varying Delay. Journal of Applied Mathematics No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-480306
American Medical Association (AMA)
Li, Jinghao& Zhang, Qing-ling& Zhai, Ding& Zhang, Yi. Delay-Dependent H∞ Control for Descriptor Markovian Jump Systems with Time-Varying Delay. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-480306
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480306