Developing local control strategies for the dynamics of self-organizing systems
Abnormality in constrained optimal control: optimality conditions
Grant number: | 09/08739-0 |
Support Opportunities: | Regular Research Grants |
Start date: | August 01, 2009 |
End date: | July 31, 2011 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Eyüp Kizil |
Grantee: | Eyüp Kizil |
Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract
A class of linear control systems on Lie groups, introduced by Ayala-Tirao, is a natural generalization of classical linear systems on Euclidean space. In this project, we deal with null controllability property of linear control systems on specific Lie groups, and its extensions. More precisely, we are interested in establishing (globally) null controllability of a linear control system on a simply connected and nilpotent Lie group. For it, we assume that the system under consideration is locally controllable. The hypothesis that the spectrum of a derivation which produce the drift vector field of the system belongs to the complex semi-plane is indespensable to obtain such a result, which also occurs in the linear case. However, it is of our interest to obtain a stronger result in the sense that the stability condition is no longer needed. This will be studied for non compatc semi-simple Lie groups. The motivation is that such Lie groups admit so-called Iwasawa decompositions which appereantly implies that null controllability of an invariant control system can be reduced to that of the induced system on solvable component of the group. (AU)
Articles published in Agência FAPESP Newsletter about the research grant: |
More itemsLess items |
TITULO |
Articles published in other media outlets ( ): |
More itemsLess items |
VEICULO: TITULO (DATA) |
VEICULO: TITULO (DATA) |