Note on behavior of a coupled nonautonoumous ordinary differential equation

결합된 시변 상미분 방정식의 해의 성질에 관하여

  • Hong, Keum-Shik (Mechanical Technology Research Center, Busan National University) ;
  • Han, Myung-Chul (Mechanical Technology Research Center, Busan National University) ;
  • Lee, Suk (Mechanical Technology Research Center, Busan National University) ;
  • Yun, Joong-Sun (Mechanical Technology Research Center, Busan National University)
  • 홍금식 (부산대학교 기계기술연구소) ;
  • 한명철 (부산대학교 기계기술연구소) ;
  • 이석 (부산대학교 기계기술연구소) ;
  • 윤중선 (부산대학교 기계기술연구소)
  • Published : 1995.09.01

Abstract

결합된 시변 상미분 방정식의 해외 점근적 성질에 관한 연구이다. 리아프노프 직접 방법에 의하면 평등 안정성(uniform stability)만 얻어졌을 경우이지만, 추가적으로 상태 벡터 중 일부가 0으로 점근적 수렴함을 보이는데 있다. 얻어진 결과는 특히 불변원리(invariance principle)가 성립하지 않는 시변 시스템에 유용하다.

Keywords

References

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