Optimal Control Theory for Applications

By D. Hull. 2003

394 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Low-Thrust Transfers in the Earth-Moon System, Including Applications to Libration Point Orbits (2010, methodology): “The performance index is subject to the dynamical constraints in the CR3BP, with additional thrust acceleration from the VSI engines; that is, _XP 8>< >: _r _v _m 9>= >; f Xp; uc; t v @U r =@r T h v T=m ûT T2=2P 2 64 3 75 (9) where the subscript p indicates that the state vector for the powered pha”
( Preprint ) AAS 09-334 A SURVEY OF NUMERICAL METHODS FOR OPTIMAL CONTROL (2009, background): “(15) and∇ is the backward difference formula, ∇fk = fk − fk−1 (16) Euler backward and Crank-Nicolson are examples of implicit methods[because the value x(tk+1) appears implicitly on the right-hand side of Eq.”
Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints (2020, methodology): “We refer for instance to Chapter 14 of [31] for details in the classical theory α = β = 1.”
Practical Techniques for Low-Thrust Trajectory Optimization with Homotopic Approach (2012, methodology): “For a detailed derivation see [27].”