Title :
A Local Field of Extremals Near Boundary Arc - Interior Arc Junctions
Author :
Schattler, Heinz
Author_Institution :
Dept. of Electrical and Systems Engineering, Washington University, St. Louis, Missouri, 63130-4899, hms@wustl.edu
Abstract :
For optimal control problems with state space constraints given by control-invariant manifolds of relative degree 1, we describe a local field of extremals near junctions between boundary and interior arcs. These results continue earlier analysis by incorporating junctions of boundary arcs with singular arcs and bang arcs not considered in before. The problem of minimizing the base transit time in homojunction bipolar transistors is used to illustrate the results.
Keywords :
Bipolar transistors; Cancer; Constraint theory; Control systems; Manifolds; Optimal control; Space shuttles; State-space methods; Sufficient conditions; Systems engineering and theory;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582279