Bases for Lie algebras and a continuous
Department of Mathematics and Statistics
Arizona State University
Tempe, AZ 85287-1804
1 DESCRIPTION OF THE PROBLEM
Many time-varying linear systems = F(t, x) naturally split into time-invariant geometric components and time-dependent parameters. A special case are nonlinear control systems that are affine in the control u, and specified by analytic vector fields on a manifold Mn
It is natural to search for solution formulas for x(t) = x(t, u) that ...