Invariance entropy of control systems on flag manifolds and homogeneous spaces

• Grant number: 11/03140-2
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: September 01, 2011
• End date: November 30, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luiz Antonio Barrera San Martin
• Grantee: Christoph Kawan
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 07/06896-5 - Geometry of control, dynamical and stochastic systems, AP.TEM

Abstract

The purpose of this research project is to study invariance entropy for control systems evolving on homogeneous spaces and flag manifolds. It will combine the experiences of the supervisor and candidate on Lie Theory and Invariance Entropy, respectively, in order to use Lie Theory methods to obtain expressions for the invariance entropy in terms of Lyapunov exponents and other objects related to control systems on Lie groups and their homogeneous spaces. (AU)

Scientific publications

(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)

KAWAN, CHRISTOPH; STENDER, TORBEN. Growth Rates for Semiflows on Hausdorff Spaces. Journal of Dynamics and Differential Equations, v. 24, n. 2, p. 369-390, JUN 2012. (11/03140-2)