Estimation of regions of asymptotic stability of nonlinear polynomial systems

Xiao Lin Lin; Yao Lin Jiang

Estimation of regions of asymptotic stability of nonlinear polynomial systems

Xiao Lin Lin
, Yao Lin Jiang

数学与统计学院

Xi'an Jiaotong University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

This paper firstly presents the estimation on the region of asymptotic stability (RAS) of nonlinear polynomial systems with linear and quadratic or linear and cubic forms for engineering applications. The estimations on RAS are then discussed for general nonlinear systems with linear, quadratic, cubic, and other forms. Using Lyapunov function approach, a closed-form estimation on RAS is derived in terms of quadratic functions. Computer simulation is provided to illustrate the new results of the proposed method.

源语言	英语
页（从-至）	409-430
页数	22
期刊	Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
卷	17
期	3
出版状态	已出版 - 2010

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title = "Estimation of regions of asymptotic stability of nonlinear polynomial systems",

abstract = "This paper firstly presents the estimation on the region of asymptotic stability (RAS) of nonlinear polynomial systems with linear and quadratic or linear and cubic forms for engineering applications. The estimations on RAS are then discussed for general nonlinear systems with linear, quadratic, cubic, and other forms. Using Lyapunov function approach, a closed-form estimation on RAS is derived in terms of quadratic functions. Computer simulation is provided to illustrate the new results of the proposed method.",

keywords = "Lyapunov function methods, Nonlinear polynomial systems, Nonlinear systems, Regions of asymptotical stability, Simulation",

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T1 - Estimation of regions of asymptotic stability of nonlinear polynomial systems

AU - Lin, Xiao Lin

AU - Jiang, Yao Lin

PY - 2010

Y1 - 2010

N2 - This paper firstly presents the estimation on the region of asymptotic stability (RAS) of nonlinear polynomial systems with linear and quadratic or linear and cubic forms for engineering applications. The estimations on RAS are then discussed for general nonlinear systems with linear, quadratic, cubic, and other forms. Using Lyapunov function approach, a closed-form estimation on RAS is derived in terms of quadratic functions. Computer simulation is provided to illustrate the new results of the proposed method.

AB - This paper firstly presents the estimation on the region of asymptotic stability (RAS) of nonlinear polynomial systems with linear and quadratic or linear and cubic forms for engineering applications. The estimations on RAS are then discussed for general nonlinear systems with linear, quadratic, cubic, and other forms. Using Lyapunov function approach, a closed-form estimation on RAS is derived in terms of quadratic functions. Computer simulation is provided to illustrate the new results of the proposed method.

KW - Lyapunov function methods

KW - Nonlinear polynomial systems

KW - Nonlinear systems

KW - Regions of asymptotical stability

KW - Simulation

UR - https://www.scopus.com/pages/publications/77950822325

M3 - 文章

AN - SCOPUS:77950822325

SN - 1492-8760

VL - 17

SP - 409

EP - 430

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

IS - 3

ER -

Estimation of regions of asymptotic stability of nonlinear polynomial systems

摘要

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