Successive linearizations of second order multidimensional time-invariant systems

被引：1
|
作者：
Belkhouche, F [1 ]
Belkhouche, B [1 ]
机构：
[1] Tulane Univ, Dept EECS, New Orleans, LA 70118 USA
来源：
COMPUTER PHYSICS COMMUNICATIONS | 2004年 / 162卷 / 02期
关键词：
nonlinear systems; multi-dimensional differential equations; optimal linearization; least square linearization; approximation of solutions;
D O I：
10.1016/j.cpc.2004.05.005
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The present paper discusses a linearization method for second order multidimensional time-invariant systems. The method approximates locally the nonlinear vector field around the equilibrium, where the solution starting from a given initial state near the equilibrium is approximated by a linear solution. This linearization is usually called local trajectory-based linearization. The approximation is computed using an iterative method, which consists of successive approximations in the least square sense. Using a numerical example, it is shown that the linearized solutions exhibit good agreement with the nonlinear solutions. (C) 2004 Elsevier B.V. All rights reserved.
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页码：79 / 88
页数：10
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