Symbolic Computation Group

David R. Cheriton School of Computer Science
University of Waterloo, Waterloo, Ontario, Canada

The Monge Problem: from quadrature-free integration of nonlinear ODEs to efficient car parking
Sergei Tsarev, Krasnoyarsk State University, Krasnoyarsk, Russia
Friday, June 7, 2002, at U. of Waterloo.

Abstract:

Briefly speaking this talk is about an old topic of finding closed-form solutions of UNDERDETERMINED systems of nonlinear ODEs, started by G. Monge in 1784 and later followed by Goursat (1905), Hilbert (1913) and Cartan (1914). In the last decades of the XX century it drew the attention of specialists in nonlinear control. In particular, the technique of this problem was used in developing motion algorithms for nonholonomic mechanical systems, a typical example being a car with N trailers. Trying to park such a monster moving back... Monge helps!

 

Last modified on Sunday, 04 November 2012, at 20:42 hours.