Explicit Wei-Norman formulae for matrix Lie groups via Putzer's method

摘要

The Wei-Norman formula locally relates the Magnus solution of a system of linear time-varying ODEs with the solution expressed in terms of products of exponentials by means of a set of nonlinear differential equations in the parameters of the two types of solutions. A closed form expression of such formula is proposed based on the use of Putzer's method. (c) 2005 Elsevier B.V. All rights reserved.