Geometrical and topological methods in optimal control theory

SA Vakhrameev - Journal of Mathematical Sciences, 1995 - Springer
The present article will appear 30 years after Hermann's report [840] was published; in that
report, the foundations of a new direction in optimal control theory, later called geometrical …

Regular synthesis for the linear time-optimal control problem with convex control constraints

M Halická - SIAM journal on control and optimization, 1989 - SIAM
The problem of existence of a regular synthesis for the linear time-optimal control problem
with convex control constraints is studied. A regular synthesis on the whole reachable set …

The value function for the linear-quadratic regulator with conical control constraints

R Goebel - 49th IEEE Conference on Decision and Control …, 2010 - ieeexplore.ieee.org
The infinite-horizon continuous-time linear-quadratic regulator problem with conical control
constraints is considered. Properties of the optimal value function are studied and illustrated …