Robust Control for Nonlinear Markov Jump Systems with Partially Unknown Transition Probabilities
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-11
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This note focuses on the finite horizon H2/H∞ control for stochastic nonlinear jump systems with partially unknown transition probabilities.
We derive the nonlinear stochastic bounded real lemma and the nonlinear optimal regular result for the considered system at first.
A sufficient condition and a necessary condition for the solution of H2/H∞ control are, respectively, offered by four cross-coupled Hamilton–Jacobi equations (HJEs).
Besides, numerical examples show the effectiveness of the obtained results.
American Psychological Association (APA)
Kang, Lifan& Wang, Yue& Hou, Ting. 2020. Robust Control for Nonlinear Markov Jump Systems with Partially Unknown Transition Probabilities. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1193621
Modern Language Association (MLA)
Kang, Lifan…[et al.]. Robust Control for Nonlinear Markov Jump Systems with Partially Unknown Transition Probabilities. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1193621
American Medical Association (AMA)
Kang, Lifan& Wang, Yue& Hou, Ting. Robust Control for Nonlinear Markov Jump Systems with Partially Unknown Transition Probabilities. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1193621
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193621