Algebraic Structure and Finite Dimensional Nonlinear Estimation
- 1 April 1978
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 9 (2) , 312-327
- https://doi.org/10.1137/0509022
Abstract
The algebraic structure of certain classes of nonlinear systems is exploited in order to prove that the optimal estimators for these systems are recursive and finite dimensional. These systems are represented by certain Volterra series expansions or by bilinear systems with nilpotent Lie algebras. In addition, an example is presented, and the steady-state estimator for this example is discussed.Keywords
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