Extended Dissipative Control for Markovian Jump Time-Delayed Systems with Bounded Disturbances
Joint Authors
Zhu, Quanxin
Poongodi, T.
Saravanakumar, T.
Mishra, Prem Prakash
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-06
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this work, the result of reachable set bounding and extended dissipative control synthesis of the Markovian jump time-delayed system is studied subject to stochastic actuator failures and partially known transition probabilities.
Specifically, a novel actuator fault model is designed, in which the actuator fault matrix satisfies a certain probabilistic condition.
Under the construction of an appropriate Lyapunov–Krasovskii functional (LKF), as well as reciprocal convex approach, Jensen’s integral inequality, and reachable set lemma, delay-dependent sufficient criteria are obtained in terms of linear matrix inequalities (LMIs) for finding an ellipsoid to bound the reachable sets of the Markovian jump time-delayed system with bounded disturbances.
Finally, two numerical examples are provided to validate the effectiveness of the proposed strategy.
American Psychological Association (APA)
Poongodi, T.& Saravanakumar, T.& Mishra, Prem Prakash& Zhu, Quanxin. 2020. Extended Dissipative Control for Markovian Jump Time-Delayed Systems with Bounded Disturbances. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1196121
Modern Language Association (MLA)
Poongodi, T.…[et al.]. Extended Dissipative Control for Markovian Jump Time-Delayed Systems with Bounded Disturbances. Mathematical Problems in Engineering No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1196121
American Medical Association (AMA)
Poongodi, T.& Saravanakumar, T.& Mishra, Prem Prakash& Zhu, Quanxin. Extended Dissipative Control for Markovian Jump Time-Delayed Systems with Bounded Disturbances. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1196121
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196121