A Lyapunov functional for a system with a time-varying delay
Józef Duda
International Journal of Applied Mathematics and Computer Science, Tome 22 (2012), p. 327-337 / Harvested from The Polish Digital Mathematics Library
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The paper presents a method to determine a Lyapunov functional for a linear time-invariant system with an interval timevarying delay. The functional is constructed for the system with a time-varying delay with a given time derivative, which is calculated on the system trajectory. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:208111 
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     author = {J\'ozef Duda},
     title = {A Lyapunov functional for a system with a time-varying delay},
     journal = {International Journal of Applied Mathematics and Computer Science},
     volume = {22},
     year = {2012},
     pages = {327-337},
     zbl = {1283.93247},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv22i2p327bwm}
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Józef Duda. A Lyapunov functional for a system with a time-varying delay. International Journal of Applied Mathematics and Computer Science, Tome 22 (2012) pp. 327-337. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv22i2p327bwm/

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