Outer invariance entropy for linear systems on Lie groups

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Type:	Artigo
Title:	Outer invariance entropy for linear systems on Lie groups
Title Alternative:
Author:	Silva, Adriano J. da
Abstract:	Linear systems on Lie groups are a natural generalization of linear systems on Euclidian spaces. For such systems, this paper studies what happens with the outer invariance entropy introduced by Colonius and Kawan [SIAM J. Control Optim. , 48 (2009), pp. 1701-1721]. It is shown that, as for the linear Euclidean case, the outer invariance entropy is given by the sum of the positive real parts of the eigenvalues of a linear derivation D that is associated to the drift of the system. Linear systems on Lie groups are a natural generalization of linear systems on Euclidian spaces. For such systems, this paper studies what happens with the outer invariance entropy introduced by Colonius and Kawan [SIAM J. Control Optim., 48 (2009), pp. 1
Subject:	Entropia Sistemas lineares Lie, Grupos de
Country:	Estados Unidos
Editor:	Society for Industrial and Applied Mathematics
Citation:	Siam Journal On Control And Optimization. Society For Industrial And Applied Mathematics Publications, v. 52, n. 6, p. 3917 - 3934, 2014.
Rights:	aberto Fechado
Identifier DOI:	10.1137/130935379
Address:	https://epubs.siam.org/doi/10.1137/130935379
Date Issue:	2014
Appears in Collections:	IMECC - Artigos e Outros Documentos

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