New results on non-regular linearization of non-linear systems |
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| Authors: | J Zhong M Karasalo D Cheng |
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| Affiliation: | 1. Institute of Systems Science , Chinese Academy of Sciences , Beijing 100080, P.R, China;2. Optimization and Systems Theory , Royal Institute of Technology , Stockholm, Sweden |
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| Abstract: | This paper presents some new results on non-regular linearization of non-linear systems. Based on a normal form and a non-regular linearization technique developed recently, the paper first provides a set of calculating formulas for the linearization procedure. As an application, the linearization of bilinear systems is investigated. Then, it presents easily verifiable sufficient conditions for the global (semi-global) (approximate) linearization. Finally, an estimate of the region of attraction for the kth degree approximately linearized systems with state feedback control is given, which illustrates one of the advantages of the approximate linearization. |
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