scholarly journals Stratified Necessary Conditions for Differential Inclusions with State Constraints

2013 ◽  
Vol 51 (5) ◽  
pp. 3903-3917 ◽  
Author(s):  
Piernicola Bettiol ◽  
Andrea Boccia ◽  
Richard B. Vinter
Keyword(s):  
Differential Inclusions ◽  
State Constraints ◽  
Necessary Conditions

scholarly journals Trajectories of differential inclusions with state constraints

2011 ◽  
Vol 250 (4) ◽  
pp. 2267-2281 ◽  
Author(s):  
Alberto Bressan ◽  
Giancarlo Facchi
Keyword(s):  
Differential Inclusions ◽  
State Constraints

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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