A generalized gradient method for optimal control problems with inequality constraints and singular arcs

1972 ◽  
Vol 17 (1) ◽  
pp. 69-79 ◽  
Author(s):  
R. Mehra ◽  
R. Davis
Keyword(s):  
Optimal Control ◽  
Gradient Method ◽  
Optimal Control Problems ◽  
Inequality Constraints ◽  
Control Problems ◽  
Generalized Gradient ◽  
Singular Arcs

scholarly journals A Shooting Algorithm for Optimal Control Problems with Singular Arcs

2013 ◽  
Vol 158 (2) ◽  
pp. 419-459 ◽  
Author(s):  
M. Soledad Aronna ◽  
J. Frédéric Bonnans ◽  
Pierre Martinon
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Singular Arcs ◽  
Shooting Algorithm

A weak maximum principle for optimal control problems with mixed constraints under a constant rank condition

2020 ◽  
Vol 37 (3) ◽  
pp. 1021-1047
Author(s):  
Roberto Andreani ◽  
Valeriano Antunes de Oliveira ◽  
Jamielli Tomaz Pereira ◽  
Geraldo Nunes Silva
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Optimal Control Problems ◽  
Necessary Optimality Conditions ◽  
Inequality Constraints ◽  
Equality Constraints ◽  
Control Problems ◽  
Constant Rank ◽  
Rank Condition ◽  
Weak Maximum Principle

Abstract Necessary optimality conditions for optimal control problems with mixed state-control equality constraints are obtained. The necessary conditions are given in the form of a weak maximum principle and are obtained under (i) a new regularity condition for problems with mixed linear equality constraints and (ii) a constant rank type condition for the general non-linear case. Some instances of problems with equality and inequality constraints are also covered. Illustrative examples are presented.

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