Sufficiency theorems for optimal control

1968 ◽  
Vol 2 (5) ◽  
pp. 285-292 ◽  
Author(s):  
George Leitmann
Keyword(s):  
Optimal Control ◽  
Sufficiency Theorems

scholarly journals Weak Measurable Optimal Controls for the Problems of Bolza

Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 191
Author(s):  
Gerardo Sánchez Licea
Keyword(s):  
Optimal Control ◽  
Equality Constraints ◽  
Optimal Controls ◽  
Final States ◽  
State Control ◽  
Sufficiency Theorems

Two sufficiency theorems for parametric and a nonparametric problems of Bolza in optimal control are derived. The dynamics of the problems are nonlinear, the initial and final states are free, and the main results can be applied when nonlinear mixed time-state-control inequality and equality constraints are presented. The deviation between admissible costs and optimal costs around the optimal control is estimated by functionals playing the role of the square of some norms.

Sign in / Sign up

Export Citation Format

Share Document