On the Simultaneous Stabilization of Linear Time-Varying Systems
Received:March 03, 2015  Revised:March 18, 2016
Key Words: strong representation   simultaneous stabilization   time-varying system   nest algebra  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11301047; 11271059) and the Fundamental Research Funds for the Central Universities.
Author NameAffiliation
Shuyan SONG School of Mathematical Science, Dalian University of Technology, Liaoning 116024, P. R. China 
Liu LIU School of Mathematical Science, Dalian University of Technology, Liaoning 116024, P. R. China 
Yufeng LU School of Mathematical Science, Dalian University of Technology, Liaoning 116024, P. R. China 
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Abstract:
      In this paper, we consider the simultaneous stabilization of discrete linear time-varying systems in an operator-theoretic framework. We give a criterion of simultaneous stabilization on account of one kind of strong representation and also give a parametrization for all the simultaneous stabilizing controllers.
Citation:
DOI:10.3770/j.issn:2095-2651.2016.03.009
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