四元数体上李雅普诺夫矩阵方程解的特征确定法

Characteristic Determinative Method of Lyapunov Matrix Equation Solution on Quat ernion Field

GUO Li-jie¹， ZHOU Shuo^1,2， GUO Xin-chen¹

1. Department of Mathematics and Physics, Northeast China Institute of Electric Power Engineering, Jilin 132012, China; 2. Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2002-09-17 Revised:1900-01-01 Online:2003-04-26 Published:2003-04-26
Contact: ZHOU Shuo

Abstract

Abstract: A characteristic value of the quaternion numbers has been defined by u sing its matrix form. The classification method of generic Lyapunov matrix equat ion, the characteristic determinative method of solution, a necessary and suffic ient condition of the equation having solution and an expression of solution are presented by finding solutions of Lyapunov matrix equation of the quaternion nu mbers.

Key words: quaternion field, Lyapunov matrix equation, classification of equation, characteristic determinative method

CLC Number:

O151

GUO Li-jie， ZHOU Shuo， GUO Xin-chen. Characteristic Determinative Method of Lyapunov Matrix Equation Solution on Quat ernion Field[J].J4, 2003, 41(02): 169-172.

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Characteristic Determinative Method of Lyapunov Matrix Equation Solution on Quat ernion Field

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