Please use this identifier to cite or link to this item: https://doi.org/10.1080/0020717031000082540
Title: On gramians and balanced truncation of discrete-time bilinear systems
Authors: Zhang, L.
Lam, J.
Huang, B.
Yang, G.-H. 
Issue Date: 10-Mar-2003
Citation: Zhang, L., Lam, J., Huang, B., Yang, G.-H. (2003-03-10). On gramians and balanced truncation of discrete-time bilinear systems. International Journal of Control 76 (4) : 414-427. ScholarBank@NUS Repository. https://doi.org/10.1080/0020717031000082540
Abstract: This paper obtains a balanced truncation model reduction method for discrete-time bilinear systems. After deriving the sufficient conditions for the discrete-time bilinear systems to lead to bounded outputs for some bounded inputs, we study the properties of the reachability and observability gramians. The gramians can be computed by solving two generalized Lyapunov equations. By balancing the reachability and observability gramians, a model reduction method is obtained. Some propositions of the reduced order models are given. A numerical example is given to illustrate the effectiveness of the proposed method.
Source Title: International Journal of Control
URI: http://scholarbank.nus.edu.sg/handle/10635/115211
ISSN: 00207179
DOI: 10.1080/0020717031000082540
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