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Maximizing a state convex lagrange functional in optimal control

  • Nonlinear Systems
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Abstract

We consider the maximization problem for an integral functional with a state-convex integrand function along a standard control system. We show necessary and sufficient global optimality conditions related to the Pontryagin’s maximum principle. We study the properties of these conditions and their relations with optimal control theory. We also illustrate the efficiency of the resulting conditions on specific examples.

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Authors and Affiliations

  1. Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia

    A. S. Strekalovsky

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  1. A. S. Strekalovsky
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Original Russian Text © A. S. Strekalovsky, 2012, published in Avtomatika i Telemekhanika, 2012, No. 6, pp. 18–33.

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Strekalovsky, A.S. Maximizing a state convex lagrange functional in optimal control. Autom Remote Control 73, 949–961 (2012). https://doi.org/10.1134/S0005117912060021

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