Abstract
Using the subdifferential, we extend the main characterization of Banach linear systems\((F\mathop \to \limits^u X)\) satisfying the Pontryagin maximum principle, given in our previous paper (Ref. 1), to the case whenF andX are locally convex spaces and the norm ofF is replaced by an arbitrary continuous convex functionalh onF.
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References
Singer, I.,On the Pontryagin Maximum Principle for Constant-Time Linear Control Systems in Banach Spaces, Journal of Optimization Theory and Applications, Vol. 27, pp. 325–331, 1979.
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Communicated by L. D. Berkovitz
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Singer, I. A characterization of constant-time linear control systems satisfying the Pontryagin maximum principle. J Optim Theory Appl 32, 379–384 (1980). https://doi.org/10.1007/BF00934559
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DOI: https://doi.org/10.1007/BF00934559