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

  • Authors:

  • Yibo Zhao;Jiuchao Feng;Chi K. Tse

  • Affiliations:

  • School of Electronic and Information Engineering, South China University of Technology, Guangzhou, China;School of Electronic and Information Engineering, South China University of Technology, Guangzhou, China;Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Kowloon, Hong Kong

  • Venue:
  • IEEE Transactions on Circuits and Systems II: Express Briefs
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

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.