Title :
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
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 ¿¿ ¿ 1 which must be imposed on systems with time-variant delay, ¿ (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;
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
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400449
