This paper investigates the uniqueness of parameters via persistence of excitation for switched linear systems. The main contribution is a much weaker sufficient condition on the regressors to be persistently exciting that guarantees the uniqueness of the parameter sets and also provides new insights in understanding the relation among different subsystems. It is found that for uniquely determining the parameters of switched linear systems, the needed minimum number of samples derived from our sufficient condition is much smaller than that reported in the literature.

　　Publication: 

　　Automatica, Volume 137, March 2022. 

　　Author: 

　　Biqiang Mu 

　　Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China 

　　Email: bqmu@amss.ac.cn  

　　Tianshi Chen 

　　School of Science and Engineering and Shenzheng Research Institute of Big Data, The Chinese University of Hong Kong, ShenZheng 518172, China 

　　Changming Cheng 

　　State Key Laboratory of Mechanical Systems and Vibration, Shanghai Jiaotong University, Shanghai, China 

　　Er-wei Bai 

　　Department of Electrical and Computer Engineering, University of Iowa, Iowa City, IA 52242, United States of America 

　　Email: er-wei-bai@uiowa.edu