Title data
Baier, Robert ; Le, Thuy Thi Thien:
Construction of the Minimum Time Function Via Reachable Sets of Linear Control Systems. Part 2: Numerical Computations.
University of Bayreuth, Germany; Università di Padova, Italy
Bayreuth ; Padova
,
2015
.  16 p.
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Project information
Project title: 



Project financing: 
Andere Fondazione CARIPARO 
Abstract in another language
In the first part of this paper we introduced an algorithm that uses reachable set approximation to approximate the minimum time function of linear control problems. To illustrate the error estimates and to demonstrate differences to other numerical approaches we provide a collection of numerical examples which either allow higher order of convergence with respect to time discretization or where the continuity of the minimum time function cannot be sufficiently granted, i.e. we study cases in which the minimum time function is Hölder continuous or even discontinuous.
Further data
Item Type:  Preprint, postprint, working paper, discussion paper 

Refereed:  Yes 
Additional notes:  Contents:
1. Introduction 2. Numerical Tests 2.1 Linear examples 2.2 A nonlinear example 2.3 Nonstrict expanding property of reachable sets 2.4 Problematic examples 3. Conclusions published in arXiv at December 2015 
Keywords:  minimum time function; reachable sets; linear control problems; setvalued RungeKutta methods 
Subject classification:  Mathematics Subject Classification Code: 49N60 93B03 (49N05 49M25 52A27) 
Institutions of the University:  Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics 
Result of work at the UBT:  Yes 
DDC Subjects:  500 Science > 510 Mathematics 
Date Deposited:  11 Jan 2016 08:14 
Last Modified:  25 Mar 2019 14:18 
URI:  https://eref.unibayreuth.de/id/eprint/29586 