The Intrinsic Geometry of Dynamic Observations
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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.
KeywordsSpecial Output Christoffel Symbol Intrinsic Geometry Dynamic Observation Observability Index
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- Brockett, R.W. Remarks on finite dimensional nonlinear estimation. Asterique, 75–76 (1980) pp 47–55.Google Scholar
- Krener, A.J. and W. Respondek, Nonlinear observers with linearizable error dynamics, to appear, SIAM J. Control and Optimization, 1985.Google Scholar
- Spivak, M. A Comprehensive Introduction to Differential Geometry, V. II, Publish or Perish Press, Berkeley, 1979.Google Scholar