Research articles
ScienceAsia 45 (2019): 172-178 |doi:
10.2306/scienceasia1513-1874.2019.45.172
A new necessary and sufficient condition for the
simultaneous stabilization of three time-varying linear
systems
Liu Liu*, Lu Yufeng
ABSTRACT: This paper considers the simultaneous stabilization problems of three discrete-time time-varying linear
systems within the framework of nest algebra. Under the transmission condition, a necessary and sufficient condition for
the existence of simultaneously stabilizing controllers is given based on the strong representation. Some simultaneous
stabilizability criteria are established in terms of single strong representation of only one controller in the transmission
condition.
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School of Mathematical Sciences, Dalian University of Technology, Dalian 116024 China |
* Corresponding author, E-mail: beth.liu@dlut.edu.cn
Received 4 May 2018, Accepted 26 Apr 2019
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