Computation of multiple Lie derivatives by algorithmic differentiation

✍ Scribed by Klaus Röbenack

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 202 KB
• Volume: 213
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2007.01.036

✦ Synopsis

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.