Abstract
This chapter summarizes the mathematical foundations of optimal control theory and explains its philosophy, main concepts and techniques, making emphasis on the continuity that this theory entails with respect the use of system of equations. First in a static framework and then in a dynamic setting, the construction and use of lagrangian and hamiltonian functions are discussed, Pontryiagin’s maximum principle is demonstrated, and the solution procedures are commented making use of simple illustrative examples.
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© 2012 Springer Science+Business Media, LLC
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Gutiérrez Diez, P.J., Russo, I.H., Russo, J. (2012). Optimal Control Theory: From Knowledge to Control (I). Basic Concepts. In: The Evolution of the Use of Mathematics in Cancer Research. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-2397-3_8
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DOI: https://doi.org/10.1007/978-1-4614-2397-3_8
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Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4614-2396-6
Online ISBN: 978-1-4614-2397-3
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