##
Optimization and Systems Theory Seminar

### November 22, 11.00-12.00

### Professor Hector Sussmann

Department of Mathematics,

Rutgers University,

New Brunswick,

USA.

###
A tale of two hamiltonians

We show how the evolution from the calculus of variations to
optimal control theory would have been considerably speeded up if only
Hamilton's equations had been written from the very beginning in a
slightly different form, which would clearly have made a sense at the
time. This would have allowed to do conjecture immediately the
so-called Weierstrass side conditions, to see their relationship with
the Hamiltonian formulation, to give a rigorous coordinate-free
formulation of Hamilton's equations of motion for free and charged
particles in special relativity, and to guess right away the general
form of the Pontryagin maximum principle that was only discovered in
the 1950's. This will be illustrated with very simple examples
showing the superior power and the simplicity of the control-theoretic
hamiltonian formulation.

Calendar of Seminars

*Last update: November 14, 1996 by Anders Forsgren,
andersf@math.kth.se.
*