Title :
Expected reachability for piecewise deterministic linear Markov processes
Author :
Boukas, E.K. ; Zhu, Q. ; Malhamé, R.
Author_Institution :
Dept. of Mech. Eng., Ecole Polytech., Montreal, Que., Canada
Abstract :
In this paper, we define expected reachability and reachable set for the class of piecewise linear deterministic systems. We develop formulas for calculating the reachable set and analyze its variance and discuss how to implement these formulas numerically. We also discuss a sufficient condition for the system to be completely reachable. Our definition is motivated by problems in the field of manufacturing production control and examples are given to show the usefulness of these concepts
Keywords :
Markov processes; controllability; expected reachability; manufacturing production control; piecewise-deterministic linear Markov processes; reachable set; Analysis of variance; Control systems; Controllability; Covariance matrix; Manufacturing systems; Markov processes; Mechanical engineering; Piecewise linear techniques; Production planning; Sufficient conditions;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.479077
