Invariance entropy for semigroups actions in homogeneous spaces

• Grant number: 13/19756-8
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2014
• End date: February 29, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luiz Antonio Barrera San Martin
• Grantee: Adriano João da Silva
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 12/18780-0 - Geometry of control systems, dynamical and stochastics systems, AP.TEM

Abstract

The aim of the project is to apply the semigroup theory, in particular the semisimple theory, in order to obtain explicit formulas or even good lower and upper bounds for the invariance entropy for semigroup actions defined by Colonius, Fukuoka and Santana. One of the proposed problems is to analyze what happens when the action comes from a semigroup of a semisimple Lie group over a flag manifold or more general when the semigroup acts on a principal bundle with structural group semisimple. (AU)

Scientific publications

(8)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DA SILVA, ADRIANO J.. OUTER INVARIANCE ENTROPY FOR LINEAR SYSTEMS ON LIE GROUPS. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, v. 52, n. 6, p. 3917-3934, 2014. (13/19756-8)

DA SILVA, ADRIANO. CONTROLLABILITY OF LINEAR SYSTEMS ON SOLVABLE LIE GROUPS. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, v. 54, n. 1, p. 372-390, 2016. (13/19756-8)

DA SILVA, ADRIANO; KAWAN, CHRISTOPH. INVARIANCE ENTROPY OF HYPERBOLIC CONTROL SETS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 36, n. 1, p. 97-136, JAN 2016. (13/19756-8)

AYALA, VICTOR; DA SILVA, ADRIANO; SAN MARTIN, LUIZ A. B.. CONTROL SYSTEMS ON FLAG MANIFOLDS AND THEIR CHAIN CONTROL SETS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 37, n. 5, p. 2301-2313, MAY 2017. (12/18780-0, 16/11135-2, 13/19756-8)

DA SILVA, ADRIANO; IEEE. Affine systems on Lie groups and invariance entropy. 2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), v. N/A, p. 6-pg., 2016-01-01. (13/19756-8, 16/11135-2)

AYALA, VICTOR; DA SILVA, ADRIANO. CONTROLLABILITY OF LINEAR SYSTEMS ON LIE GROUPS WITH FINITE SEMISIMPLE CENTER. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, v. 55, n. 2, p. 1332-1343, 2017. (13/19756-8)

AYALA, VICTOR; DA SILVA, ADRIANO; ZSIGMOND, GUILHERME. Control sets of linear systems on Lie groups. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, v. 24, n. 1, FEB 2017. (13/19756-8)

DA SILVA, A.; KAWAN, C.. Hyperbolic Chain Control Sets on Flag Manifolds. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, v. 22, n. 4, p. 725-745, OCT 2016. (13/19756-8)