Reset stabilisation of positive linear systems

Xudong Zhao, Yunfei Yin and Jun Shen

International Journal of Systems Science, 2016, vol. 47, issue 12, 2773-2782

Abstract: In this paper, the problems of reset stabilisation for positive linear systems (PLSs) are investigated. Some properties relating to reset control of PLSs are first revealed. It is shown that these properties are different from the corresponding ones of general linear systems. Second, a class of periodic reset scheme is designed to exponentially stabilise an unstable PLS with a prescribed decay rate. Then, for a given PLS with reset control, some discussions on the upper bound of its decay rate are presented. Meanwhile, the reset stabilisation for PLSs in a special case is probed as well. Finally, two numerical examples are used to demonstrate the correctness and effectiveness of the obtained theoretical results.

Date: 2016
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DOI: 10.1080/00207721.2015.1022889

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