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Some Recent Results for Continuous Switched Linear Systems
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| Author(s) |
Victoriano Carmona, Emilio Freire, Enrique Ponce, Francisco Torres, Javier Ros |
| Abstract |
The elemental structure arising from the continuous
autonomous switching of two linear systems is
considered. After introducing certain canonical forms, some
analytical results about limit cycle bifurcation are reported,
showing that such systems generically exhibit a jump
transition to oscillating behavior. Explicit expressions for
quantitative characteristics of the periodic oscillation are
obtained for the cases of dimension two and three.
As another relevant result, it is shown that continuous ndimensional
switched linear systems whose both components
are Hurwitz need not be globally asymptotically stable when
n is greater or equal to 3. |
| Download |
| Filename: | T16-902.pdf |
| Filesize: | 220.9 KB |
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| Type |
Members Only |
| Date |
Last modified 2007-03-08 by System |
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