solvable Lie algebra

Exact Methods for ODEs

Published in Daniel Zwillinger, Vladimir Dobrushkin, Handbook of Differential Equations, 2021

Daniel Zwillinger, Vladimir Dobrushkin

Here gi(0)=0 for i=1,…,N and the {ξij} are analytic functions of the {gi(t)}. (In fact, ξki depends only on gj with j<k, see the notes.) If L is a solvable Lie algebra, then equation (86.4) has a triangular form a1(t)⋮⋮aN(t)=ξ110⋯0ξ21ξ220⋯0⋮ξN1⋯ξNNg˙1⋮⋮g˙N.

Stability Analysis of DC-DC Converters Applying Lie Algebra

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Journal Information

Published in IETE Journal of Research, 2022

Debanjana Bhattacharyya, Kishor Chandra Pati

An ideal of a Lie Algebra L is defined as a subspace W of L which satisfies A sequence of ideals of L is called the derived series of L as given below [32]. Also, . The Lie Algebra L is said to be a solvable Lie Algebra if The Lie Algebra L, formed by two matrices P and Q, is represented as

solvable Lie algebra

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Exact Methods for ODEs

Stability Analysis of DC-DC Converters Applying Lie Algebra