Results 291 to 300 of about 5,953,085 (343)
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Discrete-Time Differential Dynamic Programming on Lie Groups: Derivation, Convergence Analysis, and Numerical Results

IEEE Transactions on Automatic Control, 2021
We develop a discrete-time optimal control framework for systems evolving on Lie groups. Our article generalizes the original differential dynamic programming method, by employing a coordinate-free, Lie-theoretic approach for its derivation.
George I. Boutselis   +1 more
semanticscholar   +1 more source

Local derivations on solvable Lie algebras of maximal rank

Communications in Algebra, 2022
The present paper is devoted to the description of local derivations on solvable Lie algebras of maximal rank. Namely, we consider a solvable Lie algebra of the form where is the maximal torus subalgebra of is the nilradical of and We prove that any ...
K. Kudaybergenov   +2 more
semanticscholar   +1 more source

On Lie Derivations, Generalized Lie Derivations and Lie Centralizers of Octonion Algebras

Ars Combinatoria, 2023
Let L be a unital ring with characteristic different from 2 and O ( L ) be an algebra of Octonion over L . In the present article, our attempt is to present the characterization as well as the matrix representation of some variants of derivations on O ( L ) .
Minahal Arshad, M. Mobeen Munir
openaire   +1 more source

LIE -HIGHER DERIVATIONS AND LIE -HIGHER DERIVABLE MAPPINGS

Bulletin of the Australian Mathematical Society, 2017
Let ${\mathcal{A}}$ be a unital torsion-free algebra over a unital commutative ring ${\mathcal{R}}$. To characterise Lie $n$-higher derivations on ${\mathcal{A}}$, we give an identity which enables us to transfer problems related to Lie $n$-higher derivations into the same problems concerning Lie $n$-derivations.
YANA DING, JIANKUI LI
openaire   +2 more sources

Approximate reciprocal Lie $$\star $$-Derivations

Soft Computing, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumar, B. V. Senthil   +2 more
openaire   +1 more source

Discrete Lie Derivative

2016
Convection is an important transport mechanism in physics. Especially, in fluid dynamics at high Reynolds numbers this term dominates. Modern mimetic discretization methods consider physical variables as differential k-forms and their discrete analogues as k-cochains. Convection, in this parlance, is represented by the Lie derivative, \(\mathcal{L}_{X}\
Marc Gerritsma   +2 more
openaire   +1 more source

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