Chesi, D. and Colaneri, P. and Geromel, J.C. and Middleton, R. and Shorten, R.
Computing Upper-bounds of the Minimum Dwell Time of Linear
Switched Systems via Homogeneous Polynomial Lyapunov Functions.
American Control Conference (ACC), Proceedings, 2010. ISBN 978-1-4244-7426-4 .
This paper investigates the minimum dwell time
for switched linear systems. It is shown that a sequence of
upper bounds of the minimum dwell time can be computed
by exploiting homogeneous polynomial Lyapunov functions
and convex optimization problems based on linear matrix
inequalities (LMIs). This sequence is obtained by adopting
two possible representations of homogeneous polynomials, one
based on Kronecker products, and the other on the square
matrix representation (SMR). Some examples illustrate the
use and the potentialities of the proposed approach. It is also
conjectured that the proposed approach is asymptotically nonconservative,
i.e. the exact minimum dwell time is obtained by
using homogeneous polynomials with sufficiently large degree.
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||Lyapunov methods; convex programming; linear matrix inequalities; polynomials; time-varying systems;
||Science & Engineering > Hamilton Institute
Professor Rick Middleton
||10 Nov 2010 16:34
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||American Control Conference (ACC), Proceedings, 2010. ISBN 978-1-4244-7426-4
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