Lyapunov functions for time-relevant 2D systems, with application to first-orthant stable systems

  • Authors:

  • P. Rapisarda;P. Rocha

  • Affiliations:

  • CSPC group, School of Electronics and Computer Science, University of Southampton, Southampton, United Kingdom;Department of Electrical and Computer Engineering, Faculty of Engineering, University of Oporto, Portugal

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2012

Quantified Score

Hi-index 22.14

Visualization

Abstract

We perform a Lyapunov stability analysis of a special class of 2-D systems, those for which one of the independent variables plays a distinguished role. We show how to construct Lyapunov functionals for this class using LMIs. We also apply our results to the study of quarter-plane stability.