Robust Exponential Stabilization for Uncertain Stochastic Lurie Systems with Delays

被引：0
|
作者：
Chen, Yun [1 ]
Xue, An-ke [1 ]
Lu, Renquan [1 ]
Zhao, Xiaodong [1 ]
机构：
[1] Hangzhou Dianzi Univ, Inst Informat & Control, Hangzhou 310018, Peoples R China
来源：
2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23 | 2008年
关键词：
Stochastic time-delay systems; Lurie systems; stochastic exponential stability in mean square; LMI;
D O I：
10.1109/WCICA.2008.4593835
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 robust stochastic exponential control for a class of uncertain Ito-type stochastic Lurie systems with time delays. Based on Lyapunov-Krasovskii approach, a sufficient condition for the existence of a linear memoryless state feedback controller is formulated in terms of a linear matrix inequality (LMI). For all admissible parametric uncertainties, the desired controller guarantees the resulting closed-loop system is robustly stochastically exponentially stable in mean square. A numerical example is provided to show the effectiveness of our method.
引用
收藏
页码：5559 / 5563
页数：5
相关论文
共 50 条
  • [31] Robust Stabilization Analysis for Uncertain Systems with Time-Varying Delays
    王中生
    王东云
    沈轶
    Journal of Electronic Science and Technology of China, 2004, (04) : 37 - 40
  • [32] Robust stabilization of uncertain nonlinear systems with infinite distributed input delays *
    Zhou, Qianghui
    Liu, Lu
    Feng, Gang
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (12): : 7958 - 7976
  • [33] Delay dependent robust H∞ stabilization of uncertain discrete systems with delays
    Tang, Hongji
    Han, Yanwu
    Zhang, Xiaomei
    Lu, Guoping
    WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 2318 - +
  • [34] Delay Dependent Robust Stabilization for Systems With Uncertain Time Varying Delays
    Tissir, El Houssaine
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2010, 132 (05): : 1 - 7
  • [35] Robust Stochastic Stabilization and H a Control for Neutral Stochastic Systems with Distributed Delays
    Qiu, Jiqing
    He, Haikuo
    Shi, Peng
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2011, 30 (02) : 287 - 301
  • [36] Robust Stochastic Stabilization and H∞ Control for Neutral Stochastic Systems with Distributed Delays
    Jiqing Qiu
    Haikuo He
    Peng Shi
    Circuits, Systems, and Signal Processing, 2011, 30 : 287 - 301
  • [37] Improved robust H∞ stability analysis and stabilization of uncertain systems with stochastic input time-varying delays
    Bourahala, Faycal
    Rouamel, Mohamed
    Guelton, Kevin
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2021, 42 (05): : 1512 - 1530
  • [38] Comments on "An LMI-based approach for robust stabilization of uncertain stochastic systems with time-varying delays"
    Gao, HJ
    Wang, CH
    Zhao, L
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (11) : 2073 - 2074
  • [39] Robust H∞ Filtering for Uncertain Discrete Stochastic Systems with Time Delays
    Shengyuan Xu
    James Lam
    Huijun Gao
    Yun Zou
    Circuits, Systems and Signal Processing, 2005, 24 : 753 - 770
  • [40] Robust H∞ filtering for uncertain discrete stochastic systems with time delays
    Xu, SY
    Lam, J
    Gao, HJ
    Zou, Y
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2005, 24 (06) : 753 - 770
12345