Necessary conditions of optimality for vector-valued impulsive control problems with state constraints

2001 ◽  
Author(s):  
F. L. Pereira ◽  
G. N. Silva ◽  
R. B. Vinter
Keyword(s):  
State Constraints ◽  
Necessary Conditions ◽  
Impulsive Control ◽  
Control Problems ◽  
Necessary Conditions Of Optimality ◽  
Vector Valued

scholarly journals Optimal control problems with elastic collisions

1989 ◽  
Vol 30 (4) ◽  
pp. 470-482
Author(s):  
J. M. Murray
Keyword(s):  
Optimal Control ◽  
State Vector ◽  
State Constraints ◽  
Optimal Control Problems ◽  
Necessary Conditions ◽  
The State ◽  
Control Problems ◽  
Elastic Collisions ◽  
Linear State

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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