Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jmaa.2005.08.072
Title: A global Implicit Function Theorem without initial point and its applications to control of non-affine systems of high dimensions
Authors: Zhang, W.
Ge, S.S. 
Keywords: Global existence
Implicit function
State feedback control
Issue Date: 1-Jan-2006
Source: Zhang, W., Ge, S.S. (2006-01-01). A global Implicit Function Theorem without initial point and its applications to control of non-affine systems of high dimensions. Journal of Mathematical Analysis and Applications 313 (1) : 251-261. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jmaa.2005.08.072
Abstract: 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 single-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. © 2005 Elsevier Inc. All rights reserved.
Source Title: Journal of Mathematical Analysis and Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/54222
ISSN: 0022247X
DOI: 10.1016/j.jmaa.2005.08.072
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