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Pontryagin principle with a PDE: a unified approach

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Optimization

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 32))

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Abstract

A Pontryagin principle is obtained for a class of optimal control problems with dynamics described by a partial differential equation. The method, using Karush–Kuhn–Tucker necessary conditions for a mathematical program, is almost identical to that for ordinary differential equations.

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References

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Acknowledgments

The author thanks two referees for pointing out ambiguities and omissions.

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Correspondence to B. D. Craven .

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© 2009 Springer-Verlag New York

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Craven, B.D. (2009). Pontryagin principle with a PDE: a unified approach. In: Pearce, C., Hunt, E. (eds) Optimization. Springer Optimization and Its Applications, vol 32. Springer, New York, NY. https://doi.org/10.1007/978-0-387-98096-6_6

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