A Note on Total Stability

  • Gu, Yoon-Hoe (Department of Mathematics Chungnam National University) ;
  • Ryu, Hyun Sook (Department of Mathematics Chungnam National University)
  • Received : 1990.06.21
  • Published : 1990.06.30

Abstract

It is well-known that under suitable conditions, uniform asymptotic stability implies total stability. We prove this theorem of Malkin by using Liapunov-like functions and so our proof is a detailed version of Yoshizawa's proof.

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