Abstract
There are several ways to introduce geometry into the problem of estimating the state of nonlinear process given observations of it. We classify these as intrinsic or extrinsic. We show how the linearizability of this problem is related to the existence of an intrinsic Koszul connection on the output space and its curvature and torsion.
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References
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© 1986 D. Reidel Publishing Company
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Krener, A.J. (1986). The Intrinsic Geometry of Dynamic Observations. In: Fliess, M., Hazewinkel, M. (eds) Algebraic and Geometric Methods in Nonlinear Control Theory. Mathematics and Its Applications, vol 29. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4706-1_5
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DOI: https://doi.org/10.1007/978-94-009-4706-1_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8593-9
Online ISBN: 978-94-009-4706-1
eBook Packages: Springer Book Archive