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Optimal control problems with elastic collisions

Published online by Cambridge University Press:  17 February 2009

J. M. Murray
J. M. Murray
Affiliation:
School of Mathematics, University of N.S.W., Box 1, Kensington, N.S.W., 2033, Australia.
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Abstract

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In 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.

Type
Research Article
Information
The ANZIAM Journal , Volume 30 , Issue 4 , April 1989 , pp. 470 - 482
Copyright
Copyright © Australian Mathematical Society 1989

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