| 广义相对Dalquist数及其在非线性系统稳定性分析中的应用 |
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| 引用本文： | 万安华,彭济根,王绵森.广义相对Dalquist数及其在非线性系统稳定性分析中的应用[J].应用数学,2005,18(2):328-332. |
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| 作者姓名： | 万安华 彭济根 王绵森 |
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| 作者单位： | 西安交通大学理学院,陕西,西安,710049 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10101019) |
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| 摘 要： | 对非线性算子引入了一个新概念——广义相对Dalquist数,建立了一般的非线性系统稳定性分析的一种新方法.借助这一新方法,得到了非线性系统指数稳定的充分条件,并给出了解的指数衰减估计.
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| 关 键 词： | 广义相对Dalquist数 广义Dalquist数 指数稳定性 非线性系统 |
Generalized Relative Dahlquist Constant with Applications in Stability Analysis of Nonlinear Systems |
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| WAN An-hua,PENG Ji-gen,WANG Mian-sen.Generalized Relative Dahlquist Constant with Applications in Stability Analysis of Nonlinear Systems[J].Mathematica Applicata,2005,18(2):328-332. |
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| Authors: | WAN An-hua PENG Ji-gen WANG Mian-sen |
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| Abstract: | In this paper,a novel concept named general iz ed relative Dahlquist constant is introduced for nonlinear operators,and then a novel and effective approach to stability analysis of nonlinear systems is devel oped.With this new approach,some sufficient conditions for the exponential stabi lity of nonlinear systems are obtained,and the exponential decay estimation of t he solution is also proposed. |
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| Keywords: | Generalized relative Dahlquist constant Generalized Dah lquist constant Exponential stability Nonlinear systems |
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