The Subpositive Definite Solution of the Unified Algebraic Lyapunov Equation over Quaternion Field
By using the structure-preserving property of complexification operator of the quaternion matrices,some necessary and sufficient conditions for the existence of subpositive definite solution of the unified algebraic Lyapunov equation A*X+XA+θA*XA=-Q over quaternion field are derived.At the same time,we construct iterative algorithm to find subpositive definite solution of this matrix equation,the convergence of the iteration is analyzed,and the method for selecting sampling period is given.Finally,a numeral example shows the feasibility of the method.
HUANG Jing-Pin
College of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning 530006,P.R.China
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-5
2011-07-01（万方平台首次上网日期，不代表论文的发表时间）