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Comments on “Optimally switched linear systems”

✍ Scribed by Pierre Riedinger

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
744 KB
Volume
45
Category
Article
ISSN
0005-1098

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✦ Synopsis

The technical note titled ''Optimally switched linear systems'' by the authors T. Das and R. Mukherjee addresses the problem of optimal switching for switched systems. The proof of the theorem in the paper is incorrect and point out an important theoretical point which explains why the optimal switched solution does not exist whenever there exists a singular one to a relaxed problem. This point has also important consequences concerning numerical difficulties encountered in solving such problems and are also discussed.

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This paper addresses the stability properties of switched linear positive systems in continuous-time as well as in discrete-time. In the discrete-time case, some sufficient and necessary conditions for asymptotic stability are derived for pairs of second order systems. Similar conditions are also es