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Extrema Subject to Equality Constraints

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Optimization and Control of Dynamic Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 107))

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Abstract

The previous chapter dealt with the necessary and sufficient conditions for the existence of extrema of functions in the interiors of their domains without any additional constrains.

The methods I set forth require neither constructions

nor geometric or mechanical considerations.

They require only algebraic operations subject

to a systematic and uniform course.

J.L. Lagrange

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Notes

  1. 1.

    This theorem is due to Hadamard (Bulletin des Sciences Mathematiques, 2-e series, v. XVII, 1893). The proof was given by Wirtinger (ibidemko 1908).

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, AGH University of Science and Technology, Kraków, Poland

    Henryk Górecki

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  1. Henryk Górecki
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Górecki, H. (2018). Extrema Subject to Equality Constraints . In: Optimization and Control of Dynamic Systems . Studies in Systems, Decision and Control, vol 107. Springer, Cham. https://doi.org/10.1007/978-3-319-62646-8_6

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  • DOI: https://doi.org/10.1007/978-3-319-62646-8_6

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