ERef Bayreuth

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A linear programming approach to approximating infinite time reachable sets of strictly stable linear control systems

Title data

Ernst, Andreas ; Grüne, Lars ; Rieger, Janosch:
A linear programming approach to approximating infinite time reachable sets of strictly stable linear control systems.
Melbourne , 2019 . - 15 p.

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Abstract in another language

We develop a new numerical method for approximating infinite time reachable sets of strictly stable linear control systems. By solving a linear program with a constraint that incorporates the system dynamics, we compute a polytope with fixed facet normals as an outer approximation of the limit set. In particular, this approach does not rely on forward iteration of finite-time reachable sets.

Further data

Item Type:	Preprint, postprint
Refereed:	Yes
Keywords:	reachable set; limit set; discrete-time linear systems; numerical approximation; polytopes; linear optimization
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) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	20 Feb 2019 08:49
Last Modified:	14 Mar 2019 13:32
URI:	https://eref.uni-bayreuth.de/id/eprint/47496

Available Versions of this Item

A linear programming approach to approximating infinite time reachable sets of strictly stable linear control systems. (deposited 20 Feb 2019 08:49) [Currently Displayed]
- A linear programming approach to approximating the infinite time reachable set of strictly stable linear control systems. (deposited 05 Dec 2022 08:34)