Please use this identifier to cite or link to this item: https://doi.org/10.1080/00207720500218858
Title: Existence of solutions to MIMO relay feedback systems
Authors: Lin, C. 
Wang, Q.-G. 
Lee, T.H. 
Keywords: Decentralized relay feedback
Hysterisis
Solution
Issue Date: 15-Aug-2005
Citation: Lin, C., Wang, Q.-G., Lee, T.H. (2005-08-15). Existence of solutions to MIMO relay feedback systems. International Journal of Systems Science 36 (10) : 663-668. ScholarBank@NUS Repository. https://doi.org/10.1080/00207720500218858
Abstract: This note studies the existence of solutions to MIMO linear systems under decentralized relay feedback containing hysterisis. A necessary and sufficient condition is presented to guarantee the extended solutions at the so-called intersecting instant. The suggested method is to examine the sign of the first non-zero derivative of each output right after the switches occur. Illustrative examples are given to show the cases of non-existence and non-uniqueness of solutions.
Source Title: International Journal of Systems Science
URI: http://scholarbank.nus.edu.sg/handle/10635/55952
ISSN: 00207721
DOI: 10.1080/00207720500218858
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