A primal active-set minimal-representation algorithm for polytopes with application to invariant-set calculations
Paper i proceeding, 2018

This paper provides a description of a practically efficient minimal-representation algorithm for polytopes. The algorithm is based on a primal active-set method that heavily exploits warm-starts and low-rank updates of matrix factorizations in order to reduce the required computational work. By using a primal active-set method, several nonredundant inequalities can be identified for each solved linear program. Implementation details are provided both for the minimalrepresentation algorithm and for the underlying active-set method.

minimal-representation

active-set method

invariant-set

Författare

Emil Klintberg

Chalmers, Elektroteknik, System- och reglerteknik, Reglerteknik

Magnus Nilsson

Zenuity

Lars Johannesson Mårdh

Zenuity

Ankit Gupta

Chalmers, Elektroteknik, System- och reglerteknik, Mekatronik

57th IEEE Conference on Decision and Control
Miami, USA,

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Transport

Ämneskategorier

Beräkningsmatematik

Signalbehandling

Datavetenskap (datalogi)

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Senast uppdaterat

2018-10-25