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New versions of Barbalat’s lemma with applications
MingzheHOU,GuangrenDUAN,MengshuGUO
0
(Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin Heilongjiang 150001, China;Department of Mathematics, Harbin Institute of Technology, Harbin Heilongjiang 150001, China)
摘要:
This note presents a set of new versions of Barbalat’s 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.
关键词:  Barbalat’s lemma  Lyapunov-like lemma
DOI:
Received:October 14, 2008Revised:May 15, 2009
基金项目: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.
New versions of Barbalat’s lemma with applications
Mingzhe HOU,Guangren DUAN,Mengshu GUO
(Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin Heilongjiang 150001, China;Department of Mathematics, Harbin Institute of Technology, Harbin Heilongjiang 150001, China)
Abstract:
This note presents a set of new versions of Barbalat’s 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.
Key words:  Barbalat’s lemma  Lyapunov-like lemma