Abstract

We prove a form of Pontryagin's principle for a class of optimal control problems governed by a state equation with memory. Several examples and applications are then considered

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References

  1. L. Ambrosio: Lecture notes on optimal transport problems, in: Mathematical Aspects of Evolving Interfaces (Madeira, 2000), P. Colli et al. (ed.), Lect. Notes Math. 1812, Springer, Berlin (2003) 1–52.https://doi.org/10.1007/978-3-540-39189-0_1Google Scholar
  2. R. Bellman, K. L. Cooke: Differential-Difference Equations, Mathematics in Science and Engineering 6, Academic Press, New York (1963).Google Scholar
  3. G. Carlier, R. Tahraoui: On some optimal control problems governed by a state equation with memory, ESAIM, Control Optim. Calc. Var. 14(4) (2008) 725–743.https://doi.org/10.1051/cocv:2008005Google Scholar
  4. C. Dellacherie, P.-A. Meyer: Probabilities and Potential, Mathematical Studies 29, North-Holland, Amsterdam (1978).Google Scholar

Suggested citation

G. Carlier, A. Houmia, R. Tahraoui. “On Pontryagin's Principle for the Optimal Control of some State Equations with Memory.” Journal of Convex Analysis 17 (2010), No. 3&4, 1007–1017. https://doi.org/10.68381/jca17062

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Published by Heldermann Verlag, 2010. Rights now held by Banach Press LLC.