Title :
Algebraic method for solving a class of quaternion algebraic Riccati equation
Author :
Ling, Sitao ; Jiang, Tongsong ; Cheng, Xuehan
Author_Institution :
Dept. of Math., China Univ. of Min. & Technol., Xuzhou, China
Abstract :
In this paper, by means of complex representation and Jordan canonical form, we change the problem for solving a quaternion algebraic Riccati equation to that of complex matrix equation, and provide an algebraic method for solving a class of quaternion algebraic Riccati equation.
Keywords :
Riccati equations; matrix algebra; nonlinear differential equations; Jordan canonical form; algebraic method; complex matrix equation; complex representation; quaternion algebraic Riccati equation; Eigenvalues and eigenfunctions; Quantum mechanics; Quaternions; Riccati equations; Vectors; Algebraic Riccati equation; Complex representation; Jordan canonical form; Quaternion matrix;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on
Conference_Location :
Sichuan
Print_ISBN :
978-1-4673-0025-4
DOI :
10.1109/FSKD.2012.6234039
