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Optimality conditions (in Pontryagin form). (English) Zbl 1412.49048

Tonon, Daniela (ed.) et al., Optimal control: novel directions and applications. Cham: Springer. Lect. Notes Math. 2180, 1-125 (2017).
Authors’ abstract: This chapter aims at being a friendly presentation of various results related to optimality conditions of optimal control problems. Different classes of systems are considered, such as equations with time delays and/or state constraints, dynamics affine with respect to the control variables, problems governed by partial differential equations and systems arising from classical mechanics, among others.
For the entire collection see [Zbl 1378.49001].

MSC:

49K20 Optimality conditions for problems involving partial differential equations
49J20 Existence theories for optimal control problems involving partial differential equations
35Q93 PDEs in connection with control and optimization

Software:

BNDSCO; Bocop
Full Text: DOI

References:

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