Solutions of optimal feedback control problems with general boundary conditions using Hamiltonian dynamics and generating functions

2004 ◽  
Author(s):  
Chandeok Park ◽  
D.J. Scheeres
Keyword(s):  
Feedback Control ◽  
Boundary Conditions ◽  
Generating Functions ◽  
Hamiltonian Dynamics ◽  
Optimal Feedback Control ◽  
General Boundary ◽  
Control Problems ◽  
General Boundary Conditions ◽  
Optimal Feedback

Optimal feedback control problem for Bingham media motion with periodic boundary conditions

2019 ◽  
Vol 485 (2) ◽  
pp. 139-141
Author(s):  
V. G. Zvyagin ◽  
M. V. Turbin
Keyword(s):  
Feedback Control ◽  
Boundary Conditions ◽  
Control Problem ◽  
Periodic Boundary ◽  
Three Dimensional ◽  
Degree Theory ◽  
Periodic Boundary Conditions ◽  
Optimal Feedback Control ◽  
Operator Inclusion ◽  
Optimal Feedback

We study the optimal feedback control problem for the motion of Bingham media with periodic boundary conditions in two- and three-dimensional cases. First, the considered problem is interpreted as an operator inclusion with a multivalued right-hand side. Then, the approximation-topological approach to hydrodynamic problems and the degree theory for a class of multivalued maps are used to prove the existence of solutions of this inclusion. Finally, we prove that, among the solutions of the considered problem, there exists one minimizing the given cost functional.

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