대한전기학회:학술대회논문집 (Proceedings of the KIEE Conference)
- 대한전기학회 1995년도 추계학술대회 논문집 학회본부
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- Pages.195-198
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- 1995
댐핑 영향을 반영하는 Lyapunov 함수 그룹의 유도 및 응용
Derivation of a Group of Lyapunov Functions reflecting Damping Effects and its Application
- Moon, Y.H. (Dept. of Electrical Eng. Yonsei Univ.) ;
- Choi, B.K. (Dept. of Electrical Eng. Yonsei Univ.) ;
- Roh, T.H. (Dept. of Electrical Eng. Yonsei Univ.) ;
- Lee, T.S. (Dept. of Electrical Eng. Yonsei Univ.) ;
- Lee, Y.S. (Gongju Univ.)
- 발행 : 1995.11.18
초록
Most of the theorems of nonlinear stability is based on the Lyapunov stability theory. The Lyapunov function method is the most well-known and provides precise and rigorous theoretical backgrounds. However, tile conventional approach to direct stability analysis has been performed without taking account of damping effects. For accurate stability analysis of nonlinear systems, it is required to consider the damping effects. This paper presents a new method to derive a group of Lyapunov functions to reflect the damping effects by considering the integral relationships of the system governing equations. This method tan be utilized as a powerful tool to determine the region of attraction.