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Feedback-Invariant Optimal Control Theory and Differential Geometry, II. Jacobi Curves for Singular Extremals

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Abstract

This is the second article in the series that began in [4]. Jacobi curves were defined, computed, and studied in that paper for regular extremals of smooth control systems. Here we do the same for singular extremals. The last section contains a feedback classification and normal forms of generic single-input affine in control systems on a 3-dimensional manifold.

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Authors and Affiliations

  1. Steklov Mathematical Institute, Moscow

    A.A. Agrachev

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  1. A.A. Agrachev
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Agrachev, A. Feedback-Invariant Optimal Control Theory and Differential Geometry, II. Jacobi Curves for Singular Extremals. Journal of Dynamical and Control Systems 4, 583–604 (1998). https://doi.org/10.1023/A:1021871218615

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