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Barbalat Lemma and its application in analysis of system stability

MIN Ying-ying, LIU Yun-gang   

  1. School of Control Science and Engineering, Shandong University, Jinan 250061, China
  • Received:2006-03-14 Revised:1900-01-01 Online:2007-02-24 Published:2007-02-24
  • Contact: MIN Ying-ying

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Abstract: A set of primary formulations of Barbalat Lemma and its simple alternatives are summarized. The relationships among those formulations and their applicable scopes are investigated. The applications of Barbalat Lemma in analyzing asymptotically convergence of the system, adaptive control design and Lp stability are discussed via three examples.

Key words: nonlinear systems, Lyapunov theory, asymptotic convergence , Barbalat Lemma

CLC Number: 

  • TP13
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