Control systems on flag bundles

• Grant number: 20/12971-4
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2021
• End date: January 31, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• 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 generalize known results for control systems on flag manifolds to flag bundles. One of the problems is to extend the study of the moments of Lyapunov exponents associated with semigroups of noncompact, connected semisimple Lie groups to principal bundles. One of the importance of the moments is that they are connected with controllability of control systems. (AU)

Scientific publications

(4)

(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. On the structural properties of the bounded control set of a linear control system. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, v. 29, n. 5, p. 15-pg., 2022-09-01. (20/12971-4)

AYALA, VICTOR; DA SILVA, ADRIANO; TORREBLANCA, MARIA. Linear control systems on the homogeneous spaces of the 2D Lie group. Journal of Differential Equations, v. 314, p. 21-pg., 2022-03-25. (20/12971-4, 18/13481-0)

AYALA, VICTOR; DA SILVA, ADRIANO; HERNANDEZ, DANILO A. GARCIA. Almost-Riemannian structures on nonnilpotent, solvable 3D Lie groups. JOURNAL OF GEOMETRY AND PHYSICS, v. 192, p. 15-pg., 2023-10-01. (20/12971-4)

AYALA, VICTOR; DA SILVA, ADRIANO; AYALA, JOSE. Geometric Structures Generated by the Same Dynamics. Recent Results and Challenges. SYMMETRY-BASEL, v. 14, n. 4, p. 18-pg., 2022-04-01. (20/12971-4)