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New versions of Barbalats lemma with applications
Received:2008/10/14  Revised:2009/5/15
Keywords:Barbalats lemma  Lyapunov-like lemma
Fund Project:This work was supported by National Natural Science Foundation of China (No.60710002, 60974044) and Program for Changjiang Scholars and Innovative Research Team in University.
AuthorInstitutionE-mail
Mingzhe HOU Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin Heilongjiang 150001, China houlechuan@126.com 
Guangren DUAN Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin Heilongjiang 150001, China  
Mengshu GUO Department of Mathematics, Harbin Institute of Technology, Harbin Heilongjiang 150001, China  
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Abstract:
      This note presents a set of new versions of Barbalats lemma combining with positive (negative) definite functions. Based on these results, a set of new formulations of Lyapunov-like lemma are established. A simple example shows the usefulness of our results.
Mingzhe HOU,Guangren DUAN and Mengshu GUO.New versions of Barbalats lemma with applications[J].Journal of Control Theory and Applications,2010,8(4):545~547.
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