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| New versions of Barbalat’s lemma with applications |
| MingzheHOU,GuangrenDUAN,MengshuGUO |
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| (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) |
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| 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. |
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| 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 |
