Stability Analysis of Periodic Orbits of Nonautonomous Piecewise-Linear Systems by Mapping Approach

被引：7

作者：

Zhao, Yibo ^{[1
]}

Feng, Jiuchao ^{[1
]}

Tse, Chi K. ^{[2
]}

机构：

[1] S China Univ Technol, Sch Elect & Informat Engn, Guangzhou 510641, Peoples R China

[2] Hong Kong Polytech Univ, Elect & Informat Engn Dept, Kowloon, Hong Kong, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2009年 / 56卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Discrete-time mapping; Duffing oscillator; nonautonomous piecewise-linear systems (PLSs); stability; COLPITTS OSCILLATOR; CHAOS; BIFURCATIONS; CONVERTERS; MODELS;

D O I：

10.1109/TCSII.2009.2032475

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this brief, we present an exact stability analysis for periodic orbits of nonautonomous piecewise-linear systems. The described discrete-time maps are derived by connecting solutions at the switched points and solving relevant sets of linear differential equations. The coordinates of the switched points of the periodic orbit on each switching surface and the corresponding Jacobians are obtained. Theoretical analysis and simulation results for the piecewise-linear Duffing oscillator and Colpitts oscillator are presented to illustrate the proposed method.

引用

页码：845 / 849

页数：5

共 22 条

[1] A COMPARISON OF PIECEWISE-LINEAR AND CONTINUOUS APPROXIMATING MODELS
BEGLEY, CJ
VIRGIN, LN
[J]. MECHANICS RESEARCH COMMUNICATIONS, 1995, 22 (06) : 527 - 532
[2] An improved ZCT-PWM DC-DC converter for high-power and frequency applications
Bodur, H
Bakan, AF
[J]. IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2004, 51 (01) : 89 - 95
[3] CANONICAL REALIZATION OF CHUA CIRCUIT FAMILY
CHUA, LO
LIN, GN
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (07): : 885 - 902
[4] NON-LINEAR OSCILLATION VIA VOLTERRA SERIES
CHUA, LO
TANG, YS
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1982, 29 (03): : 150 - 168
[5] Study on discrete time mapping modeling and stability analysis for piecewise autonomous oscillation systems
Dai, Xin
Huang, Xi-Yue
Sun, Yue
[J]. Zidonghua Xuebao/Acta Automatica Sinica, 2007, 33 (01): : 72 - 77
[6] CHAOS FROM PHASE-LOCKED LOOPS
ENDO, T
CHUA, LO
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (08): : 987 - 1003
[7] Regions of stability for limit cycle oscillations in piecewise linear systems
Gonçalves, JM
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) : 1877 - 1882
[8] Guchenheimer J, 1983, NONLINEAR OSCILLATIO
[9] SUB-HARMONIC STROBOSCOPY AS A METHOD TO STUDY PERIOD-DOUBLING BIFURCATIONS
HAO, BL
ZHANG, SY
[J]. PHYSICS LETTERS A, 1982, 87 (06) : 267 - 270
[10] CHAOS IN THE COLPITTS OSCILLATOR
KENNEDY, MP
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1994, 41 (11): : 771 - 774

← 1 2 3 →