Computer-Aided Design of Nonlinear Observers

Birk, J.; Zeitz, Μ.

doi:10.1016/s1474-6670(17)53600-9

Cited by 11 publications

(2 citation statements)

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“…For higher order Lie derivatives we simply apply the function LieDerivative repeatedly. For this recurrence, from a programmer's point of view it makes no difference whether the Lie derivatives are computed along the same vector field as in (3) or along different vector fields as in (4).…”

Section: Lie Derivatives and Dynamical Systemsmentioning

confidence: 99%

“…For nonlinear systems of moderate complexity, Lie derivatives can easily be computed symbolically using computer algebra packages such as Mathematica, Maple, MuPAD, or Macsyma. In fact, several research groups developed toolboxes to solve problems in nonlinear control symbolically using Lie derivatives [3,9,20,21]. Symbolically computed solutions provide insights into the structure of the solution, parameter dependencies, and can easily be exported as source code of the programming languages C and Fortran.…”

Section: Introductionmentioning

confidence: 99%

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Computation of multiple Lie derivatives by algorithmic differentiation

Röbenack

2008

Journal of Computational and Applied Mathematics

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Lie derivatives are often used in nonlinear control and system theory. In general, these Lie derivatives are computed symbolically using computer algebra software. Although this approach is well-suited for small and medium-size problems, it is difficult to apply this technique to very complicated systems. We suggest an alternative method to compute the values of iterated and mixed Lie derivatives by algorithmic differentiation.

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Section: Lie Derivatives and Dynamical Systemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%