CV Lattes
ResearcherID
Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Turquia
has ms.c degree from North Catholic University, Chile (1998) and Ph.D from State University of Campinas, Brasil (2003). Field of research based on Geometric Control Theory, Theory of Lie groups and their Lie algebras, Theory of Lie semigroups, Homotopy theory in control, etc. (Source: Lattes Curriculum)
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Let G be a Lie group with identity eG and £ a cone in the Lie algebra g of G. We think of g as the set of left invariant vector fields on G and assume furthermore that it satisfies the Lie algebra rank condition. We use a general formalism developed by Sussmann to obtain an algebraic structure on the covering space (£,x), xG, recently presented by Colonius-Kizil-San Martin. This formalis…
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 …
Monotonic homotopy was considered by Lawson in [law] and [law1], where the main purpose was to extend to Lie semigroups the classical construction of universal covering groups. Monotonic homotopy between monotonic curves of a Lie semigroup S is a variant of the usual homotopy linking continuously monotonic curves of S through monotonic curves. We are interessted in this Project for a poss…
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