Deterministic and stochastic multi-mode multi-dimensional systems with application to switched systems with delay

Author

Verriest, Erik I.

Author_Institution

Fac. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

3958

Lastpage

3963

Abstract

The dynamics of hybrid systems with mode dynamics of different dimensions is described. The first part explores structural properties of such multi-mode multidimensional (M³D) systems. The second part considers such models under sequential switching at random times. More specifically, the backward Kolmogorov equation is derived. This is applied to a causally restricted hybrid system containing a mode with delay. Causal restriction is necessitated by the condition Â¿Â¿ Â¿ 1 which must be imposed on systems with time-variant delay, Â¿ (t).

Keywords

delays; sequential switching; stochastic systems; backward Kolmogorov equation; causal restriction; deterministic systems; hybrid systems; mode dynamics; sequential switching; stochastic multimode multidimensional systems; switched systems; time variant delay; Communication switching; Communication system control; Delay systems; Equations; Multidimensional systems; State-space methods; Stochastic systems; Switched systems; Timing; Tin;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400449

Filename

5400449