Multi-input and multi-output nonlinear systems: Interconnected Chua's circuits

被引：17
|
作者：
Duan, ZS [1 ]
Wang, JZ [1 ]
Huang, L [1 ]
机构：
[1] Peking Univ, Dept Engn Sci & Mech, Beijing 100871, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2004年 / 14卷 / 09期
基金：
中国国家自然科学基金;
关键词：
dichotomy; interconnection; Chua's circuit; coupled Chua's circuit;
D O I：
10.1142/S0218127404011168
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a class of MIMO nonlinear systems are studied. Some frequency domain conditions are established for the property of dichotomy. These kinds of systems can also be viewed as a class of interconnected systems composed of SISO systems through some linear and nonlinear interconnections. A class of nonlinear input and output interconnections are presented. The corresponding condition for testing dichotomy is given. Furthermore, Chua's circuit and interconnected Chua's circuit are studied to illustrate the theoretical results.
引用
收藏
页码：3065 / 3081
页数：17
相关论文
共 50 条
  • [1] Integral Action in Output Feedback for Multi-Input Multi-Output Nonlinear Systems
    Astolfi, Daniele
    Praly, Laurent
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (04) : 1559 - 1574
  • [2] Observer design for a class of multi-input multi-output nonlinear systems
    Dong, Yali
    Yang, Yingjuan
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2011, 42 (04) : 695 - 703
  • [3] Output feedback adaptive maneuvering for multi-input multi-output uncertain nonlinear systems
    Ying, Zhou
    Qiang, Zang
    ACTA PHYSICA SINICA, 2009, 58 (11) : 7565 - 7572
  • [4] RECURSIVE IDENTIFICATION OF MULTI-INPUT, MULTI-OUTPUT SYSTEMS
    GAUTHIER, A
    LANDAU, ID
    AUTOMATICA, 1978, 14 (06) : 609 - 614
  • [5] Multi-input, Multi-output Hybrid Energy Systems
    Arent, Douglas J.
    Bragg-Sitton, Shannon M.
    Miller, David C.
    Tarka, Thomas J.
    Engel-Cox, Jill A.
    Boardman, Richard D.
    Balash, Peter C.
    Ruth, Mark F.
    Cox, Jordan
    Garfield, David J.
    JOULE, 2021, 5 (01) : 47 - 58
  • [6] Functional observer design for a class of multi-input and multi-output nonlinear systems
    Cai, Xiushan
    Liu, Yang
    Zhang, Haoran
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (10): : 3046 - 3059
  • [7] Observer Design for a Class of Multi-input Multi-output Affine Nonlinear Systems
    Yang, Yingjuan
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 962 - 965
  • [8] DESIGN OF MULTI-INPUT MULTI-OUTPUT SYSTEMS WITH MINIMUM SENSITIVITY
    LUTZ, WJ
    HAKIMI, SL
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (09): : 1114 - 1122
  • [9] HLS parameter estimation for multi-input multi-output systems
    Yuan, Ping
    Ding, Feng
    Liu, Peter X.
    2008 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION, VOLS 1-9, 2008, : 857 - +
  • [10] CANONICAL FORMS FOR MULTI-INPUT/MULTI-OUTPUT MINIMAL SYSTEMS
    BUDIN, MA
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1972, AC17 (04) : 554 - &
12345