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A Polytope Based Algorithm to Compute Regions of Attraction: Planar Case

Romanchuk B. G.

1995
Technical Report: CUED/F-INFENG/TR.228

Abstract

An algorithm which estimates the region of attraction of the origin using a convex polytope is developed for piecewise linear dynamical systems. This is equivalent to the problem of computing a Lyapunov function. The R^2 case is studied herein for simplicity.

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BibTex Entry

@TechReport{,
author = {Romanchuk B. G.},
institution = {Department of Engineering, University of Cambridge},
title = {A Polytope Based Algorithm to Compute Regions of Attraction: Planar Case },
year = {1995},
note = {CUED/F-INFENG/TR.228}
}