Stochastic stability and stabilization of Markov jump linear systems with instantly time-varying transition rates: A unified framework
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- 作者：Mona Faraji-Niri1 ; M_farajiniri@iust.ac.ir" class="auth_mail" title="E-mail the corresponding author ; Mohammad-Reza Jahed-Motlagh ; Jahedmr@iust.ac.ir" class="auth_mail" title="E-mail the corresponding author
- 关键词：Non-Homogeneous Markov Jump Linear System ; Time-Varying Transition Rates ; Stochastic Stability ; Stabilization ; Lyapunov Function ; Data Clustering
- 刊名：ISA Transactions
- 出版年：2016
- 出版时间：November 2016
- 年：2016
- 卷：65
- 期：Complete
- 页码：51-61
- 全文大小：1046 K
文摘
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A unified framework is proposed to deal with the stability and stabilization problems of a general class of Markovian jump linear systems.
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A systematic approach is used to deal with the instantly time varying probabilistic specifications of the Markovian jump linear systems.
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Through signal processing techniques, the system is represented by a new associative model such that it is suitable for analysis and design purposes.
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Robust stochastic controller is successfully designed for the system based on the new representation.
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The unified framework is superior to the existing methods for dealing with the time-varying Markovian jump linear systems in case of conservativeness of the results.