Stability analysis of periodic orbits of nonautonomous piecewise-linear systems by mapping approach

Yibo Zhao; Jiuchao Feng; Chi Kong Tse

doi:10.1109/TCSII.2009.2032475

Stability analysis of periodic orbits of nonautonomous piecewise-linear systems by mapping approach

Yibo Zhao, Jiuchao Feng, Chi Kong Tse

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

7 Citations (Scopus)

Abstract

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.

Original language	English
Article number	5306108
Pages (from-to)	845-849
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	56
Issue number	11
DOIs	https://doi.org/10.1109/TCSII.2009.2032475
Publication status	Published - 1 Nov 2009

Keywords

Discrete-time mapping
Duffing oscillator
Nonautonomous piecewise-linear systems (PLSs)
Stability

ASJC Scopus subject areas

Electrical and Electronic Engineering

More information

10.1109/TCSII.2009.2032475

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Stability analysis of periodic orbits of nonautonomous piecewise-linear systems by mapping approach

Abstract

Keywords

ASJC Scopus subject areas

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