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- W3208968888 abstract "The aim of the present tutorial paper is to recall notions from manifold calculus and to illustrate how these tools prove useful in describing system-theoretic properties. Special emphasis is put on embedded manifold calculus (which is coordinate-free and relies on the embedding of a manifold into a larger ambient space). In addition, we also consider the control of non-linear systems whose states belong to curved manifolds. As a case study, synchronization of non-linear systems by feedback control on smooth manifolds (including Lie groups) is surveyed. Special emphasis is also put on numerical methods to simulate non-linear control systems on curved manifolds. The present tutorial is meant to cover a portion of the mentioned topics, such as first-order systems, but it does not cover topics such as covariant derivation and second-order dynamical systems, which will be covered in a subsequent tutorial paper." @default.
- W3208968888 created "2021-11-08" @default.
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- W3208968888 date "2021-11-04" @default.
- W3208968888 modified "2023-10-14" @default.
- W3208968888 title "Manifold Calculus in System Theory and Control—Fundamentals and First-Order Systems" @default.
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- W3208968888 doi "https://doi.org/10.3390/sym13112092" @default.
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