A new approach to exponential stability analysis of nonlinear systems

被引：0

作者：

Wan A. ^{[1
,2
]}

机构：

[1] Department of Applied Mathematics, Faculty of Science, South China Agricultural University

[2] Faculty of Science, Xi'An Jiaotong University

来源：

Journal of Applied Mathematics and Computing | 2005年 / 19卷 / 1-2期

关键词：

Exponential stability; Nonlinear mapping; Nonlinear system; The point-wise generalized Dahlquist constant;

D O I：

10.1007/BF02935809

中图分类号：

学科分类号：

摘要：

An effective method for analyzing the stability of nonlinear systems is developed. After introducing a novel concept named the point-wise generalized Dahlquist constant for any mapping and presenting its useful properties, we show that the point-wise generalized Dahlquist constant is sufficient for characterizing the exponential stability of nonlinear systems. © 2005 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.

引用

页码：345 / 351

页数：6

共 16 条

[1]

Aassila Mohammed(1999)Asymptotic Stability and Decay Rate of Solutions for a Nonlinear Wave Equation with Variable Coefficients J. Appl. Math. & Computing 6 185-196

[2]

Jaroslaw M.(1998)Stability Analysis of Nonlinear Difference Systems Applied Mathematics and Computation 95 27-36

[3]

Liu Yuji(2004)Asymptotic Behavior of Solutions of Forced Nonlinear Neutral Difference Equations J. Appl. Math. & Computing 16 37-52

[4]

Ge Weigao(2000)Stability Analysis for Systems of Nonlinear Hill's Equations Physica A 286 133-146

[5]

Mahmoud Gamal M.(2001)On Stability of Nonlinear Differential Systems via Cone-Valued Liapunov Function Method Applied Mathematics and Computation 119 265-281

[6]

Tassos Bountis(2002)On Asymptotic Behaviours of Nonlinear Semigroup of Lipschitz Operators with Applications Acta Mathematica Sinica 45 1099-1106

[7]

Ahmed Sayed A(2001)Nonlinear Measures: A New Approach to Exponential Stability Analysis for Hopfield-Type Neural Networks IEEE Transactions of Neural Networks 12 360-370

[8]

El-Sheikh M. M. A.(1986)Bounds on Nonlinear Operators in Finite-Dimensional Banach Spaces Numer. Math. 50 27-44

[9]

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[10]

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