Multi-Mode Multi-Dimensional Systems with Poissonian Sequencing
Verriest, Erik I.
Commun. Inf. Syst., Tome 9 (2009) no. 1, p. 77-102 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
The dynamics of hybrid systems with mode dynamics of different dimensions is described. The first part gives some deterministic examples of such multi-mode multi-dimensional $(M^3D)$ systems. The second part considers such models under sequential switching at random times. More specifically, the backward Kolmogorov equation is derived, and Lie-algebraic methods are used in the case where the modes are linear. For Poissonian switched equi-dimensional modes, the diffusion limit and its implication in vibrational stability are studied. The motion of a pebble on an elevator belt is given as an example.
Publié le : 2009-05-15
Classification:  Hybrid systems,  optimal control,  switched systems,  model reduction 
@article{1242738943,
     author = {Verriest, Erik I.},
     title = {Multi-Mode Multi-Dimensional Systems with Poissonian Sequencing},
     journal = {Commun. Inf. Syst.},
     volume = {9},
     number = {1},
     year = {2009},
     pages = { 77-102},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1242738943}
}

Verriest, Erik I. Multi-Mode Multi-Dimensional Systems with Poissonian Sequencing. Commun. Inf. Syst., Tome 9 (2009) no. 1, pp.  77-102. http://gdmltest.u-ga.fr/item/1242738943/