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Existence of singular extremals and singular functionals in reachable spaces

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Abstract.

Given a linear, infinite dimensional control system with point target and "full" control we show that singular extremals for the minimum norm problem exist except in certain exceptional cases ("singular" means "not satisfying Pontryagin's maximum principle"). Existence of singular extremals implies existence of certain functionals (also called singular) in the space of reachable states.

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Authors and Affiliations

  1. University of California, Department of Mathematics, Los Angeles, CA 90095-1555, USA, e-mail: hof@math.ucla.edu, , , , , , US

    H. O. Fattorini

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  1. H. O. Fattorini
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Received March 5, 2001; accepted April 10, 2001.

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Fattorini, H. Existence of singular extremals and singular functionals in reachable spaces. J.evol.equ. 1, 325–347 (2001). https://doi.org/10.1007/PL00001374

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  • DOI: https://doi.org/10.1007/PL00001374

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