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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 3.3

Bases for Lie algebras and a continuous

CBH formula

Matthias Kawski1

Department of Mathematics and Statistics

Arizona State University

Tempe, AZ 85287-1804

USA

kawski@asu.edu

1 DESCRIPTION OF THE PROBLEM

Many time-varying linear systems -179495885= 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

-1743747172

It is natural to search for solution formulas for x(t) = x(t, u) that ...

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