Abstract
In this paper, a balanced truncation type of reduction is proposed for unstable continuous-time systems which is based on unstable system reduction originally proposed for discrete systems. This is achieved by first deriving a link between continuous-time and discrete-time systems which is called the extended bilinear mapping. Using this mapping, an unstable continuous-time system reduction method along with its error bounds is then derived. A numerical example is provided to illustrate the effectiveness of the method and a comparison with other relevant methods in the literature is also included.
Original language | English |
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Pages (from-to) | 615-635 |
Number of pages | 21 |
Journal | Acta Mathematica Vietnamica |
Volume | 42 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Dec 2017 |