Abstract
An extension of Pontryagin's maximum principle to the case where the state space is infinite dimensional is given. The control process is governed by ordinary nonlinear differential equations. A property of control processes, which is analogous to well-known, nonlinear interior mapping theorems, makes up the basis for the proofs.
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Communicated by H. Halkin
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Seierstad, A. An extension to Banach space of Pontryagin's maximum principle. J Optim Theory Appl 17, 293–335 (1975). https://doi.org/10.1007/BF00933882
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DOI: https://doi.org/10.1007/BF00933882