NDLI: Finite-time H∞ filtering for Itô stochastic Markovian jump systems with distributed time-varying delays based on optimisation algorithm

Content Provider	IET Digital Library
Author	Wu, Zhengtian Jiang, Baoping Kao, Yonggui
Abstract	This study is concerned with the problem of finite-time H ∞ filter design for a class of Itô stochastic systems with Markovian switching and distributed time-varying delays. Firstly, a partially mode-dependent filter is designed to accommodate to unreliable network transmission. The attention is focused on deriving sufficient conditions for the filtering error system to ensure the finite-time boundedness and to satisfy a prescribed H ∞ disturbance attenuation. Then based on stochastic functional theory, the existence of H ∞ filter is presented by solving existing linear matrix inequalities optimisation problems. Furthermore, the result is extended to the case where the mode information is completely transmitted. Finally, a numerical example is provided to show the effectiveness of the proposed results.
Starting Page	702
Ending Page	710
Page Count	9
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 5, Mar (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/5
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.6119
Journal	IET Control Theory & Applications
Publisher Date	2019-02-04
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	$H∞ Filter Design Algebra Control System Analysis Control System Synthesis Delay Discrete Control System Discrete Time System Distributed Parameter Control System Distributed Time-varying Delay Filtering Error System Filtering Theory Finite-time Boundedness Itô Stochastic Markovian Jump Systems Itô Stochastic Systems Linear Matrix Inequalities Lyapunov Method Markov Processes Markovian Switching Optimal Control Optimisation Optimisation Algorithm Optimisation Technique Partially Mode-dependent Filter Solving Existing Linear Matrix Inequalities Optimisation Problem Stability in Control Theory Stochastic Functional Theory Stochastic System Synthesis Method Time Varying Control System Time Varying System Unreliable Network Transmission
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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