NDLI: Robust stochastic stability and delayed-state-feedback stabilisation of uncertain Markovian jump linear systems with random time delays

Content Provider	IET Digital Library
Author	Qiu, Li Shi, Yang Xu, Bugong Yao, Fengqi
Abstract	The problem of robust stochastic stability and delayed-state-feedback stabilisation of uncertain Markovian jump linear systems with random Markov delays is investigated. Based on the Lyapunov stability theory and robust analysis techniques, some robust stochastic stability criteria are derived in terms of linear matrix inequalities. Robust delayed-state-feedback controllers that stochastically stabilise the uncertain Markovian jump linear systems is also proposed. The state variable on the controller is assumed to be dependent on the Markov delay that has uncertain transition probabilities. Finally, numerical examples are provided to illustrate the feasibility and effectiveness of the proposed methods.
Starting Page	1878
Ending Page	1886
Page Count	9
ISSN	17518644
Volume Number	9
e-ISSN	17518652
Issue Number	Issue 12, Aug (2015)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/9/12
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2014.1138
Journal	IET Control Theory & Applications
Publisher Date	2015-06-02
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Control System Analysis Delay Delayed-state-feedback Stabilisation Distributed Parameter Control System Linear Algebra Linear Matrix Inequalities Linear System Lyapunov Method Lyapunov Stability Theorem Markov Processes Numerical Analysis Probability Random Markov Delay Random Time Delay Robust Analysis Technique Robust Control Robust Delayed-state-feedback Controller Robust Stochastic Stability Criteria Stability Criteria Stability in Control Theory State Feedback State Variable Stochastic System Synthesis Method Time Varying Control System Uncertain Markovian Jump Linear System Uncertain System Uncertain Transition Probabilities
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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