A global Implicit Function Theorem without initial point and its applications to control of non-affine systems of high dimensions

作者：Zhang WN^*; Ge SZS

来源：Journal of Mathematical Analysis and Applications, 2006, 313(1): 251-261.

DOI：10.1016/j.jmaa.2005.08.072

• implicit function
• global existence
• state feedback control

Control system design for non-affine systems is a difficult problem because of the lack of mathematical tools. The key to the problem is solving for an implicit function but the known results for implicit functions are not applicable for higher dimensional systems except for sinale-input and single-output systems. In this paper, a new version of a global implicit function theorem in higher dimension is presented and proved. This result can be applied to show the controllability of a class of non-affine, multi-input and multi-output (MIMO) system so that approximation based control system design can be applied with ease.

• 出版日期2006-1-1
• 单位四川大学