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A Brief Tutorial on Calculus on Manifolds, with Emphasis on Applications to Identification and Control

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Book cover Nonlinear Stochastic Problems

Part of the book series: NATO ASI Series ((ASIC,volume 104))

Abstract

In this tutorial, fundamental definitions of differentiable manifold, functions, and vector fields are given along with examples taken from identification, filtering, and from realization theory. Calculus of real-valued functions on a manifold, leading to the Morse Theory, is also discussed accompanied by examples in identification and in the stability analysis of a power system

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Author information

Authors and Affiliations

  1. Division of Applied Sciences and Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA

    Christopher I. Byrnes

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  1. Christopher I. Byrnes
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Editor information

Editors and Affiliations

  1. Department of Aerospace Engineering, University of Southern California, Los Angeles, CA, USA

    Richard S. Bucy

  2. Department of Electrical Engineering, Instituto Superior Técnico, Lisbon, Portugal

    José M. F. Moura

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© 1983 D. Reidel Publishing Comapany

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Byrnes, C.I. (1983). A Brief Tutorial on Calculus on Manifolds, with Emphasis on Applications to Identification and Control. In: Bucy, R.S., Moura, J.M.F. (eds) Nonlinear Stochastic Problems. NATO ASI Series, vol 104. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7142-4_11

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  • DOI: https://doi.org/10.1007/978-94-009-7142-4_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7144-8

  • Online ISBN: 978-94-009-7142-4

  • eBook Packages: Springer Book Archive

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