Treffer: Model checking polygonal differential inclusions using invariance kernels
Title:
Model checking polygonal differential inclusions using invariance kernels
Authors:
Publisher Information:
ACM
Publication Year:
2004
Collection:
University of Malta: OAR@UM / L-Università ta' Malta
Subject Terms:
Document Type:
Konferenz
conference object
Language:
English
DOI:
10.1007/978-3-540-24622-0_11
Availability:
Rights:
info:eu-repo/semantics/openAccess ; The copyright of this work belongs to the author(s)/publisher. The rights of this work are as defined by the appropriate Copyright Legislation or as modified by any successive legislation. Users may access this work and can make use of the information contained in accordance with the Copyright Legislation provided that the author must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the prior permission of the copyright holder
Accession Number:
edsbas.D6543DDE
Database:
BASE
Weitere Informationen
Polygonal hybrid systems are a subclass of planar hybrid automata which can be represented by piecewise constant differential inclusions. Here, we identify and compute an important object of such systems’ phase portrait, namely invariance kernels. An invariant set is a set of initial points of trajectories which keep rotating in a cycle forever and the invariance kernel is the largest of such sets. We show that this kernel is a non-convex polygon and we give a non-iterative algorithm for computing the coordinates of its vertices and edges. Moreover, we present a breadth-first search algorithm for solving the reachability problem for such systems. Invariance kernels play an important role in the algorithm. ; peer-reviewed