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
2011 ◽  
Vol 250 (4) ◽  
pp. 2267-2281 ◽  
Author(s):  
Alberto Bressan ◽  
Giancarlo Facchi

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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