NDLI: Distributed finite-time control for Markovian jump systems interconnected over undirected graphs with time-varying delay

Content Provider	IET Digital Library
Author	Xue, Xiaojuan Xu, Huiling Xu, Li
Abstract	This study considers the problems of stochastic finite-time stability analysis and distributed finite-time control for Markovian jump systems interconnected over undirected graphs with time-varying delay. First, the concepts of the well-posedness, stochastic finite-time boundedness and contractiveness for the class of systems are introduced, and the control problem formulation is presented. Then, a sufficient condition on the well-posedness, stochastic finite-time boundedness and contractiveness for the resulting closed-loop systems is proposed by a set of non-linear matrix inequalities in some given finite-time interval. For decoupling this non-linearity, a sufficient condition on the existence of a mode-dependent distributed dynamic output feedback controller is established in terms of linear matrix inequalities with some fixed parameter. Moreover, the obtained controller, which not only inherits the structure of the plant but also has the same jumping process as the plant, can guarantee that the closed-loop system is stochastic finite-time bounded and contractive in some given finite-time interval. Furthermore, an algorithm is presented to obtain the parameters of such controllers. Finally, a numerical simulation is presented to show the validity of the proposed method.
Starting Page	2969
Ending Page	2982
Page Count	14
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 18, Dec (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/18
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5879
Journal	IET Control Theory & Applications
Publisher Date	2019-08-08
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Closed Loop System Closed-loop System Combinatorial Mathematics Contractiveness Control Problem Formulation Control System Analysis Control System Synthesis Delay Distributed Parameter Control System Feedback Finite-time Boundedness Finite-time Control Finite-time Interval Finite-time Stability Analysis Linear Matrix Inequalities Lyapunov Method Markovian Jump System Mode-dependent Distributed Dynamic Output Feedback Controller Nonlinear Control System Nonlinear Matrix Inequalities Optimal Control Stability Stability in Control Theory Stochastic System Sufficient Condition Synthesis Method Time Varying Control System Time Varying System Time-varying Delay Uncertain System Undirected Graph
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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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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