scholarly journals High-order necessary optimality conditions for control problems with terminal constraints

1983 ◽  
Vol 4 (2) ◽  
pp. 103-127 ◽  
Author(s):  
V. V. Gorokhovik
Keyword(s):  
Optimality Conditions ◽  
Necessary Optimality Conditions ◽  
High Order ◽  
Control Problems ◽  
Terminal Constraints

scholarly journals Numerical Algorithms For State-Linear Optimal Impulsive Control Problems Based On Feedback Necessary Optimality Conditions

2020 ◽  
pp. 152-158
Author(s):  
Stepan Sorokin ◽  
Maxim Staritsyn
Keyword(s):  
Optimality Conditions ◽  
Impulsive Control ◽  
Numerical Algorithms ◽  
Necessary Optimality Conditions ◽  
Maximum Principles ◽  
Control Problems ◽  
Impulsive Systems ◽  
Feedback Controls ◽  
Non Local ◽  
Optimal Impulsive Control

We propose and compare three numeric algorithms for optimal control of state-linear impulsive systems. The algorithms rely on the standard transformation of impulsive control problems through the discontinuous time rescaling, and the so-called “feedback”, direct and dual, maximum principles. The feedback maximum principles are variational necessary optimality conditions operating with feedback controls, which are designed through the usual constructions of the Pontryagin’s Maximum Principle (PMP); though these optimality conditions are formulated completely in the formalism of PMP, they essentially strengthen it. All the algorithms are non-local in the sense that they are aimed at improving non-optimal extrema of PMP (local minima), and, therefore, show the potential of global optimization.

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