Hyperbolic Chain Control Sets on Flag Manifolds

A. Da Silva; C. Kawan

doi:10.1007/s10883-015-9308-1

Hyperbolic Chain Control Sets on Flag Manifolds

A. Da Silva
, C. Kawan

Universidade Estadual de Campinas
University of Passau

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this paper, we characterize the hyperbolic chain control sets of a right-invariant control system on a flag manifold of a real semisimple Lie group. Moreover, we provide a formula for the invariance entropy of such sets, applying a recently established result that holds in a more general setting.

Original language	English
Pages (from-to)	725-745
Number of pages	21
Journal	Journal of Dynamical and Control Systems
Volume	22
Issue number	4
DOIs	https://doi.org/10.1007/s10883-015-9308-1
State	Published - 1 Oct 2016
Externally published	Yes

Keywords

Chain control sets
Flag manifolds
Hyperbolicity
Invariance entropy
Right-invariant control systems

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10.1007/s10883-015-9308-1

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title = "Hyperbolic Chain Control Sets on Flag Manifolds",

abstract = "In this paper, we characterize the hyperbolic chain control sets of a right-invariant control system on a flag manifold of a real semisimple Lie group. Moreover, we provide a formula for the invariance entropy of such sets, applying a recently established result that holds in a more general setting.",

keywords = "Chain control sets, Flag manifolds, Hyperbolicity, Invariance entropy, Right-invariant control systems",

author = "Silva, \{A. Da\} and C. Kawan",

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year = "2016",

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AU - Kawan, C.

PY - 2016/10/1

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N2 - In this paper, we characterize the hyperbolic chain control sets of a right-invariant control system on a flag manifold of a real semisimple Lie group. Moreover, we provide a formula for the invariance entropy of such sets, applying a recently established result that holds in a more general setting.

AB - In this paper, we characterize the hyperbolic chain control sets of a right-invariant control system on a flag manifold of a real semisimple Lie group. Moreover, we provide a formula for the invariance entropy of such sets, applying a recently established result that holds in a more general setting.

KW - Chain control sets

KW - Flag manifolds

KW - Hyperbolicity

KW - Invariance entropy

KW - Right-invariant control systems

UR - https://www.scopus.com/pages/publications/84948972438

U2 - 10.1007/s10883-015-9308-1

DO - 10.1007/s10883-015-9308-1

M3 - Article

AN - SCOPUS:84948972438

SN - 1079-2724

VL - 22

SP - 725

EP - 745

JO - Journal of Dynamical and Control Systems

JF - Journal of Dynamical and Control Systems

IS - 4

ER -

Hyperbolic Chain Control Sets on Flag Manifolds

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Keywords

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