Some comments on global linearization of nonlinear systems

✍ Scribed by William M. Boothby

• Publisher: Elsevier Science
• Year: 1984
• Tongue: English
• Weight: 350 KB
• Volume: 4
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(84)80016-x

✦ Synopsis

It is shown that even in the case of a single input system on R2 it will be rather difficult to find conditions sufficient to guarantee existence of a global linearization and that local conditions alone will definitely not be enough. A class of examples which is fairly typical and it is hoped useful is discussed.

interesting applications, thus it becomes natural and even urgent to discuss the question of global as opposed to local linearizability. More precisely if U = R" and the necessary and sufficient conditions for local feedback equivalence to a controllable linear system are satisfied in a neighborhood of every point (not just the equilibrium point f = 0), then is the system above equivalent to a controllable linear system j=Ay+ 5 u,b, i=l