Mathematics – Optimization and Control
Scientific paper
2004-11-08
Georgian Mathematical Journal, Vol.13 (2006), No1, pp. 173--182
Mathematics
Optimization and Control
To appear (paper ID: 131) in the Conference Proceedings of ICMSAO'05 -- First International Conference on Modeling, Simulation
Scientific paper
We obtain a version of Noether's invariance theorem for optimal control problems with a finite number of cost functionals. The result is obtained by formulating E. Noether's result to optimal control problems subject to isoperimetric constraints, and then using the unimprovable (Pareto) notion of optimality. A result of this kind was posed to the author, as a mathematical open question, of great interest in applications of control engineering, by A. Gugushvili.
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