Second-order reciprocally convex approach to stability of systems with interval time-varying delays

被引：67
作者：
Lee, Won Il [1 ]
Park, PooGyeon [1 ]
机构：
[1] Pohang Univ Sci & Technol, Dept Elect & Elect Engn, Pohang, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 229卷
基金：
新加坡国家研究基金会;
关键词：
Triple integral terms; Reciprocally convex approach; Interval time-varying delays; Stability analysis; DEPENDENT STABILITY; ROBUST STABILITY; NEURAL-NETWORKS; NEUTRAL SYSTEMS; LINEAR-SYSTEMS; CRITERIA; STABILIZATION;
D O I：
10.1016/j.amc.2013.12.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, some triple integral terms in the Lyapunov Krasovskii functional have been introduced in the literature to reduce conservatism in the stability analysis of systems with interval time-varying delays. When we apply the Jensen inequality to partitioned double integral terms in the derivation of LMI conditions, a new kind of linear combination of positive functions weighted by the inverses of squared convex parameters emerges. This paper proposes an efficient method to manipulate such a combination by extending the lower bound lemma. Some numerical examples are given to demonstrate the improvement of the proposed method. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：245 / 253
页数：9
相关论文
共 24 条
  • [1] [Anonymous], 2013, IEEE T CYBERN
  • [2] Delay-dependent stability of neutral systems with time-varying delays using delay-decomposition approach
    Balasubramaniam, P.
    Krishnasamy, R.
    Rakkiyappan, R.
    [J]. APPLIED MATHEMATICAL MODELLING, 2012, 36 (05) : 2253 - 2261
  • [3] New delay-dependent stability criteria for neural networks with time-varying interval delay
    Chen, Jie
    Sun, Jian
    Liu, G. P.
    Rees, D.
    [J]. PHYSICS LETTERS A, 2010, 374 (43) : 4397 - 4405
  • [4] Chen YH, 2013, PROCEEDINGS OF THE 2013 6TH IEEE CONFERENCE ON ROBOTICS, AUTOMATION AND MECHATRONICS (RAM), P1, DOI 10.1109/RAM.2013.6758550
  • [5] GU K., 2003, CONTROL ENGN SER BIR
  • [6] Improved approach to robust stability and H∞ performance analysis for systems with an interval time-varying delay
    Jeong, Changki
    Park, PooGyeon
    Kim, Sung Hyun
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (21) : 10533 - 10541
  • [7] Delay-dependent stability criteria for systems with asymmetric bounds on delay derivative
    Ko, Jeong Wan
    Park, Poo Gyeon
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (09): : 2674 - 2688
  • [8] Analysis on robust H∞ performance and stability for linear systems with interval time-varying state delays via some new augmented Lyapunov-Krasovskii functional
    Kwon, O. M.
    Park, M. J.
    Park, Ju H.
    Lee, S. M.
    Cha, E. J.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 : 108 - 122
  • [9] Improved approaches to stability criteria for neural networks with time-varying delays
    Kwon, O. M.
    Park, M. J.
    Park, Ju H.
    Lee, S. M.
    Cha, E. J.
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (09): : 2710 - 2735
  • [10] New approaches on stability criteria for neural networks with interval time-varying delays
    Kwon, O. M.
    Lee, S. M.
    Park, Ju H.
    Cha, E. J.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (19) : 9953 - 9964
123