TY - JOUR AU - Ayala, Victor AU - Cruz, Efrain AU - Kliemann, Wolfgang AU - Laura-guarachi, Leonardo R. PY - 2016 TI - Controllability properties of bilinear systems in dimension 2 JO - Journal of Mathematics and Computer Science SP - 554-575 VL - 16 IS - 4 AB - 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. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.016.04.08 DO - 10.22436/jmcs.016.04.08 ID - Ayala2016 ER - TY - JOUR TI - Controllability of two-dimensional bilinear systems: restricted controls and discrete time AU - V. Ayala AU - L. San Martin JO - Proyecciones Journal of Mathematics PY - 1999 DA - 1999// VL - 18 ID - Ayala1999 ER - TY - BOOK TI - The Dynamics of Control AU - F. Colonius AU - W. Kliemann PB - Birkhäuser PY - 2000 DA - 2000// CY - Boston ID - Colonius2000 ER - TY - BOOK TI - Bilinear Control Systems: Matrices in Action AU - D. L. Elliott PB - Springer PY - 2009 DA - 2009// CY - Dordrecht ID - Elliott 2009 ER - TY - JOUR TI - Orbits of families of vector fields and integrability of distributions AU - H. J. Sussmann JO - Trans. Amer. Math. Soc. PY - 1973 DA - 1973// VL - 180 ID - Sussmann1973 ER -