一类非自治非线性系统的稳定性
The Stability of a Nonautonomous and Nonlinear System
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摘要:运用大系统分解理论的标量V(Liapunov)函数方法,对一类非自治非线性系统的稳定性理论进行研究, 获得该系统的渐近稳定性的充分条件,并同时得到当系统中非线性项条件减弱时,系统渐近稳定性的一个推论。
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关键词:
- 非线性系统/
- 非自治系统/
- 渐近稳定/
- Liapunov函数
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. -
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