Control systems on flag manifolds and their chain control sets | Zendy

Víctor Ayala | Zendy; Adriano Da Silva | Zendy; Luiz A. B. San Martín | Zendy

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Control systems on flag manifolds and their chain control sets

Author(s) -

Víctor Ayala,

Adriano Da Silva,

Luiz A. B. San Martín

Publication year - 2017

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2017101

Subject(s) - flag (linear algebra) , chain (unit) , mathematics , generalized flag variety , invariant (physics) , semigroup , affine transformation , closure (psychology) , control system , control (management) , set (abstract data type) , combinatorics , pure mathematics , discrete mathematics , lie group , computer science , physics , algebra over a field , programming language , astronomy , artificial intelligence , economics , market economy , mathematical physics , electrical engineering , engineering

In this paper we shown that the chain control sets of induced systems on flag manifolds coincides with their analogous one defined via semigroup actions. Consequently, any chain control set of the system contains a control set with nonempty interior and, if the number of the control sets with nonempty interior coincides with the number of the chain control sets, then the closure of any control set with nonempty interior is a chain control set.

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