Control systems on Lie groups and homogeneous spaces

• Grant number: 18/10696-6
• Support Opportunities: Regular Research Grants
• Start date: August 01, 2018
• End date: July 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Adriano João da Silva
• Grantee: Adriano João da Silva
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The aim of the present project is to study the dinamics of control systems whose state space are Lie groups and homogeneous spaces, or more generally, principal bundles which structural group is a Lie group. (AU)

Scientific publications

(6)

(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)

AYALA, VICTOR; DA SILVA, ADRIANO; JOUAN, PHILIPPE. JORDAN DECOMPOSITION AND THE RECURRENT SET OF FLOWS OF AUTOMORPHISMS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 41, n. 4, p. 1543-1559, APR 2021. (18/10696-6)

AYALA, VICTOR; DA SILVA, ADRIANO. Central periodic points of linear systems. Journal of Differential Equations, v. 272, p. 310-329, JAN 25 2021. (18/10696-6, 18/13481-0)

AYALA, VICTOR; DA SILVA, ADRIANO. The control set of a linear control system on the two dimensional Lie group. Journal of Differential Equations, v. 268, n. 11, p. 6683-6701, MAY 15 2020. (18/10696-6)

AYALA, VICTOR; DA SILVA, ADRIANO; JOUAN, PHILIPPE; ZSIGMOND, GUILHERME. Control sets of linear systems on semi-simple Lie groups. Journal of Differential Equations, v. 269, n. 1, p. 449-466, JUN 15 2020. (16/11135-2, 18/10696-6)

AYAL, VICTOR; DA SILVA, ADRIANO. On the characterization of the controllability property for linear control systems on nonnilpotent, solvable three-dimensional Lie groups. Journal of Differential Equations, v. 266, n. 12, p. 8233-8257, JUN 5 2019. (18/10696-6, 16/11135-2)

DA SILVA, ADRIANO; IEEE. On the continuity of the invariance entropy for hyperbolic linear control systems on Lie groups. 2019 IEEE INFORMATION THEORY WORKSHOP (ITW), v. N/A, p. 5-pg., 2019-01-01. (18/10696-6)