The Stability of a Nonautonomous and Nonlinear System

LIUChang-dong; YUXiao-hua

Volume 13 Issue 4

Aug. 2000

Turn off MathJax

Article Contents

Journal of Southwest Jiaotong University > 2000 > 13(4): 440-443.

LIUChang-dong, YUXiao-hua. The Stability of a Nonautonomous and Nonlinear System[J]. Journal of Southwest Jiaotong University, 2000, 13(4): 440-443.

Citation:

LIUChang-dong, YUXiao-hua. The Stability of a Nonautonomous and Nonlinear System[J]. Journal of Southwest Jiaotong University, 2000, 13(4): 440-443.

LIUChang-dong, YUXiao-hua. The Stability of a Nonautonomous and Nonlinear System[J]. Journal of Southwest Jiaotong University, 2000, 13(4): 440-443.

Citation:

LIUChang-dong, YUXiao-hua. The Stability of a Nonautonomous and Nonlinear System[J]. Journal of Southwest Jiaotong University, 2000, 13(4): 440-443.

PDF( 0 KB)

The Stability of a Nonautonomous and Nonlinear System

Publish Date: 25 Aug 2000

Abstract

Abstract

The stabilitytheoryof a kind of nonautonomous and nonlinearsystem is discussed usingthe scalar quantity functionV(Liapunov) forthe decomposition theoryof large systems. The sufficient condition ofthe asymptotic stabilityof the system is obtained, and in the meantime, a corollary forthe asymptotic stability is derived when the nonlinear term of the system is weakened.
- nonlinear systems,
- nonautonomous systems,
- asymptotic stability,
- Liapunov function