Abstract
Abstract The problem of finding a global state space transformation and a certain kind of global feedback to transform a given single-input homogeneous bilinear system into a controllable linear system is considered here. The comparision with the local version of this problem is performed, namely, the conjecture on possible equivalence of these two notions is stated and discussed. This conjecture. has been recently found to be valid in the case of the state linearization. Complete analysis of the both locally and globally feedback linearizable honl0geneous bilinear systems in R 2 and R 3 is performed here to show the validity of such conjecture for the small dimensional case. This contribution can be therefore viewed in the framework of considering the class of bilinear systems as the nonlinear class suitable for the global properties analysis.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
