A simple approach to calculation and control of unstable periodic orbits in chaotic piecewise-linear systems

被引：4
|
作者：
Ueta, T [1 ]
Chen, GR
Kawabe, T
机构：
[1] Univ Tokushima, Dept Informat Sci, Tokushima 7708506, Japan
[2] Univ Houston, Houston, TX 77204 USA
[3] Univ Tsukuba, Inst Informat Sci & Electr, Tsukuba, Ibaraki 3058573, Japan
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2001年 / 11卷 / 01期
关键词：
D O I：
10.1142/S0218127401002092
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper describes a simple method for calculating unstable periodic orbits (UPOs) and their control in piecewise-linear autonomous systems. The algorithm can be used to obtain any desired UFO embedded in a chaotic attractor, and the UFO can be stabilized by a simple state feedback control. A brief stability analysis of the controlled system is also given.
引用
收藏
页码：215 / 224
页数：10
相关论文
共 50 条
  • [1] Calculation and control of unstable periodic orbits in piecewise smooth dynamical systems
    Ueta, T
    Kawabe, T
    Chen, GR
    Kawakami, H
    [J]. CHAOS CONTROL: THEORY AND APPLICATIONS, 2003, 292 : 321 - 340
  • [2] Stability Analysis of Periodic Orbits of Nonautonomous Piecewise-Linear Systems by Mapping Approach
    Zhao, Yibo
    Feng, Jiuchao
    Tse, Chi K.
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2009, 56 (11) : 845 - 849
  • [3] Stabilization of unstable equilibrium points for piecewise-linear chaotic systems
    Jiang, GP
    [J]. 2004 INTERNATIONAL CONFERENCE ON COMMUNICATION, CIRCUITS, AND SYSTEMS, VOLS 1 AND 2: VOL 1: COMMUNICATION THEORY AND SYSTEMS - VOL 2: SIGNAL PROCESSING, CIRCUITS AND SYSTEMS, 2004, : 1382 - 1386
  • [4] General approach to the localization of unstable periodic orbits in chaotic dynamical systems
    Schmelcher, P
    Diakonos, FK
    [J]. PHYSICAL REVIEW E, 1998, 57 (03): : 2739 - 2746
  • [5] An optimization approach to locating and stabilizing unstable periodic orbits of chaotic systems
    Tian, YP
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (05): : 1163 - 1172
  • [6] Analysis of unstable periodic orbits and chaotic orbits in the one-dimensional linear piecewise-smooth discontinuous map
    Rajpathak, Bhooshan
    Pillai, Harish K.
    Bandyopadhyay, Santanu
    [J]. CHAOS, 2015, 25 (10)
  • [7] STRUCTURE AND CONTROL OF PIECEWISE-LINEAR SYSTEMS
    BANKS, SP
    KHATHUR, SA
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1989, 50 (02) : 667 - 686
  • [8] Piecewise-linear chaotic systems with a single equilibrium point
    Yang, T
    Chua, LO
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (09): : 2015 - 2060
  • [9] Periodic orbits for perturbations of piecewise linear systems
    Carmona, Victoriano
    Fernandez-Garcia, Soledad
    Freire, Emilio
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 250 (04) : 2244 - 2266
  • [10] CHAOTIC BEHAVIOR IN PIECEWISE-LINEAR SAMPLED-DATA CONTROL-SYSTEMS
    USHIO, T
    HIRAI, K
    [J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1985, 20 (5-6) : 493 - 506
12345