TY - JOUR
T1 - On the local structure of optimal trajectories in R3
JF - SIAM J. Control Optim. 42 (2003) 513-531
Y1 - 2003
A1 - Andrei A. Agrachev
A1 - Mario Sigalotti
AB - We analyze the structure of a control function u(t) corresponding to an optimal trajectory for the system $\\\\dot q =f(q)+u\\\\, g(q)$ in a three-dimensional manifold, near a point where some nondegeneracy conditions are satisfied. The kind of optimality which is studied includes time-optimality. The control turns out to be the concatenation of some bang and some singular arcs. Studying the index of the second variation of the switching times, the number of such arcs is bounded by four.
PB - SISSA Library
UR - http://hdl.handle.net/1963/1612
U1 - 2506
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -