On variational perturbations of control problems: Minimum-time problem and minimum-effort problem

1984 ◽  
Vol 44 (3) ◽  
pp. 407-433 ◽  
Author(s):  
O. Cârja
Keyword(s):  
Minimum Time ◽  
Control Problems ◽  
Time Problem ◽  
Variational Perturbations ◽  
Minimum Time Problem

scholarly journals On the Discontinuity of the Costates for Optimal Control Problems With Coulomb Friction

2000 ◽  
Author(s):  
Brian J. Driessen ◽  
Nader Sadegh
Keyword(s):  
Optimal Control ◽  
Coulomb Friction ◽  
Optimal Control Problems ◽  
Minimum Time ◽  
Control Problems ◽  
Time Points ◽  
Discontinuous Functions ◽  
Time Problem ◽  
Switching Functions ◽  
Minimum Time Problem

Abstract This work points out that the costates are actually discontinuous functions of time for optimal control problems with Coulomb friction. In particular these discontinuities occur at the time points where the velocity of the system changes sign. To our knowledge, this has not been noted before. This phenomenon is demonstrated on a minimum-time problem with Coulomb friction and the consistency of discontinuous costates and switching functions with respect to the input switches is shown.

A Trigonometric Solution to a Minimum Time Problem

1984 ◽  
Vol 77 (3) ◽  
pp. 220-221
Author(s):  
Ray C. Shiflett ◽  
Harris S. Shultz
Keyword(s):  
Minimum Time ◽  
Time Problem ◽  
Trigonometric Solution ◽  
Minimum Time Problem
Sign in / Sign up

Export Citation Format

Share Document