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How hard is it to control switched systems?

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2 Author(s)
Egerstedt, M. ; Georgia Inst. of Technol., Atlanta, GA, USA ; Blondel, V.D.

We show that the problem of deciding if there exists a control that drives a switched control system between two given states is undecidable. We furthermore investigate what happens if we search for a control that achieves this in a given number of steps, or with a given number of switches. These problems are shown to be respectively NP-complete and NP-hard. The results follow as a consequence of recent complexity results on matrix mortality.

Published in:
American Control Conference, 2002. Proceedings of the 2002  (Volume:3 )

Date of Conference: 2002

Page(s):
1869 - 1873 vol.3
ISSN :
0743-1619
Print ISBN:
0-7803-7298-0
INSPEC Accession Number:
7420278
Digital Object Identifier :
10.1109/ACC.2002.1023905
Product Type:
Conference Publications

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