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
• City of the host institution: Campinas

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)

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

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)

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. 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)