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《Electric Machines and Control》 2001-03
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The sufficient and necessary conditions of commutative matrices for MIMO linear system

GUO Shu-li, DUAN Zhi-sheng, HUANG Lin (Center for Systems and Control, Department of Mechanics and Engineering Science, Beijing University, Beijing, 100871, China)  
Commutative matrices of MIMO linear system are considered. The existence of the feedback matrices of commutative state matrix set in the SISO closed-loop systems is reduced to the eigenvalue and eigenvector of matrices A and the existence of feedback matrices in the MIMO closed-loop systems is reduced to invariance subspace of matrix A, and the existence of feedback matrices in the open-loop systems is equivalent,to the existence of the solution of Lyapunov matrix equation. Kronecker product is used as the tool in dealing with commutative state matrix set. Results are demonstrated by two material examples.
【Fund】: 国家重点基础研究专项经费资助项目(G1998020302)
【CateGory Index】: TP13
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
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