The Variational Lyapunov Method and Stability for Impulsive Delay Differential Systems
Received:January 11, 2008  Revised:October 06, 2008
Key Word: impulsive delay differential system   stability   variational Lyapunov method   Razumikhin technique   two measures.  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.60973048), the Natural Science Foundation of Shandong Province (Grant No.Y2007G30) and the Young Science Foundation of Qingdao University.
Author NameAffiliation
Kai En LIU School of Mathematics, Qingdao University, Shandong 266071, P. R. China
Center for Systems and Control, College of Engineering, Peking University, Beijing 100871, P. R. China 
Guo Wei YANG School of Automation Engineering, Qingdao University, Shandong 266071, P. R. China 
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Abstract:
      By using the variational Lyapunov method and Razumikhin technique, the stability criteria in terms of two measures for impulsive delay differential systems are established. The known results are generalized and improved. An example is worked out to illustrate the advantages of the theorems.
Citation:
DOI:10.3770/j.issn:1000-341X.2010.01.006
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