Title :
Reachable sets and singular arcs for minimum fuel problems based on norm-invariant systems
Author_Institution :
University of Illinois at Chicago Circle, Chicago, IL, USA
fDate :
8/1/1972 12:00:00 AM
Abstract :
A class of norm-invariant systems with an added fuel coordinate is shown to have easily described reachable sets. A class of minimum fuel problems defined on such systems, having a solution that follows from Athans and Falb [1], is shown to contain singular arcs.
Keywords :
Fuel-optimal control; Nonlinear systems, continuous-time; Singular optimal control; Control systems; Costs; Differential equations; Fuels; Nonlinear systems; Optimal control; Time measurement;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1972.1100051
