Abstract
Extremum principles intended for use in optimal control are derived in the form of necessary conditions and sufficient conditions, formulated in general normed linear spaces. The method of application is illustrated by several examples involving optimal control problems, mathematical programming problems, lumped-parameter systems, and distributed-parameter systems. The basic theorems provide a unified approach which is applicable to a wide variety of problems in open-loop optimal control.
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Andry, A.N., Walker, J.A. Extremum principles for optimal control in normed linear spaces. J Optim Theory Appl 19, 613–632 (1976). https://doi.org/10.1007/BF00934658
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DOI: https://doi.org/10.1007/BF00934658