Controllability properties of bilinear systems in dimension 2


Victor Ayala - Instituto de Alta Investigacio'n, Universidad de Tarapaca', Arica, Chile and Departamento de Matema'ticas, Universidad Cato'lica del Norte, Antofagasta, Chile. Efrain Cruz - Carrera de Matema'tica, Universidad Mayor de San Andre's, La Paz, Bolivia. Wolfgang Kliemann - Department of Mathematics, Iowa State University, Ames, IA 50011, USA. Leonardo R. Laura-guarachi - Escuela Superior de Economi'a, Instituto Polite'cnico Nacional, Ciudad de Me'xico, Me'xico.


This paper discusses the controllability of bilinear control systems by considering the spectrum of the system and controllability of the projection onto the projective space. Necessary and sufficient conditions are presented for two dimensional systems with bounded and unbounded control range.