scholarly journals Necessary conditions for infinite horizon optimal control problems with state constraints

2018 ◽  
Vol 8 (3) ◽  
pp. 535-555 ◽  
Author(s):  
Vincenzo Basco ◽  
◽  
Piermarco Cannarsa ◽  
Hélène Frankowska ◽  
Author(s):  
J. M. Murray

AbstractIn this paper consider we optimal control problems with linear state constraints where the states can be discontinuous at the boundary. In fact the state vector models the cause the position and velocity of a particle where the collisions with the boundary that cause the discontinuities are elastic. Necessary conditions are derived by looking at limits of approximate problems that are unconstrained.


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