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Computation of multiple Lie derivatives by algorithmic differentiation. (English) Zbl 1136.93017

Summary: 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.

MSC:

93B29 Differential-geometric methods in systems theory (MSC2000)
93B40 Computational methods in systems theory (MSC2010)
93C10 Nonlinear systems in control theory

Software:

TADIFF; AD01; ADOL-C
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References:

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