Finite-time boundedness filtering for discrete-time Markovian jump system subject to partly unknown transition probabilities

被引：25

作者：

Zhong, Qishui ^{[1
,2
]}

Bai, Jinping ^{[1
]}

Wen, Bin ^{[1
]}

Li, Shujun ^{[3
]}

Zhong, Fuli ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Aeronaut & Astronaut, Chengdu 611731, Sichuan, Peoples R China

[2] China Zhenhua Elect Grp Co Ltd, Guiyang 550018, Guizhou, Peoples R China

[3] Sinowatt Dongguan Ltd, Dongguan 523696, Guangdong, Peoples R China

来源：

ISA TRANSACTIONS | 2014年 / 53卷 / 04期

基金：

中国博士后科学基金;

关键词：

H-infinity finite-time stability; Time-varying transition probability; Markovian jump system; H-infinity control; OUTPUT-FEEDBACK CONTROL; H-INFINITY CONTROL; NEURAL-NETWORKS; VARYING DELAYS; EXPONENTIAL STABILITY; NONLINEAR-SYSTEMS; SINGULAR SYSTEMS; STABILIZATION; SYNCHRONIZATION;

D O I：

10.1016/j.isatra.2014.03.015

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the problem of finite-time boundedness filtering for discrete-time Markovian jump system subject partly unknown transition probabilities. By using the multiple Lyapunov function approach, a novel sufficient condition for finite-time bounded of H-infinity filtering is derived and the system trajectory stays within a prescribed bound during a specified time interval. Finally, an example is provided to illustrate the usefulness and effectiveness of the proposed method. (C) 2014 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：1107 / 1118

页数：12

共 41 条

[1] Finite-time control of discrete-time linear systems: Analysis and design conditions [J].

Amato, Francesco ;

Ariola, Marco ;

Cosentino, Carlo .

AUTOMATICA, 2010, 46 (05) :919-924

[2] Observer-based stabilization of T-S fuzzy systems with input delay [J].

Chen, Bing ;

Liu, Xiao-Ping ;

Tong, Shao-Cheng ;

Lin, Chong .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2008, 16 (03) :652-663

[3]

Cheng J, 2013, INT J SYST SCI

[4] Finite-time H∞ control for a class of Markovian jump systems with mode-dependent time-varying delays via new Lyapunov functionals [J].

Cheng, Jun ;

Zhu, Hong ;

Zhong, Shouming ;

Zeng, Yong ;

Dong, Xiucheng .

ISA TRANSACTIONS, 2013, 52 (06) :768-774

[5] Novel delay-dependent robust stability criteria for neutral systems with mixed time-varying delays and nonlinear perturbations [J].

Cheng, Jun ;

Zhu, Hong ;

Zhong, Shouming ;

Li, Guihua .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (14) :7741-7753

[6] Exponential mean-square stability of time-delay singular systems with Markovian switching and nonlinear perturbations [J].

Ding, Yucai ;

Zhu, Hong ;

Zhong, Shouming ;

Zeng, Yong .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (04) :2350-2359

[7] Robust H∞ Filtering for Markovian Jump Systems With Randomly Occurring Nonlinearities and Sensor Saturation: The Finite-Horizon Case [J].

Dong, Hongli ;

Wang, Zidong ;

Ho, Daniel W. C. ;

Gao, Huijun .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2011, 59 (07) :3048-3057

[8] Unbiased H∞ filtering for neutral Markov jump systems [J].

He, Shuping ;

Liu, Fei .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) :175-185

[9] Finite-time boundedness of uncertain time-delayed neural network with Markovian jumping parameters [J].

He, Shuping ;

Liu, Fei .

NEUROCOMPUTING, 2013, 103 :87-92

[10] Stochastic finite-time boundedness of Markovian jumping neural network with uncertain transition probabilities [J].

He, Shuping ;

Liu, Fei .

APPLIED MATHEMATICAL MODELLING, 2011, 35 (06) :2631-2638

← 1 2 3 4 5 →