In this note we prove that if a switched system F formed by a pair of linear vector fields of R2 is asymptotically controllable, then the discrete time operator associated to F admits at least one real eigenvalue p, with |p| < 1. For the particular case at hand, this is an improvement of previous existing results.
A remark about linear switched systems in the plane / Bacciotti, Andrea. - ELETTRONICO. - (2013), pp. 612-616. (Intervento presentato al convegno 9th IFAC Symposium on Nonlinear Control Systems tenutosi a Toulouse, Francia nel 4-6 settembre 2013).
A remark about linear switched systems in the plane
BACCIOTTI, Andrea
2013
Abstract
In this note we prove that if a switched system F formed by a pair of linear vector fields of R2 is asymptotically controllable, then the discrete time operator associated to F admits at least one real eigenvalue p, with |p| < 1. For the particular case at hand, this is an improvement of previous existing results.Pubblicazioni consigliate
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https://hdl.handle.net/11583/2521091
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