NUMERICAL ALGORITHMS FOR EIGENVALUE ASSIGNMENT BY STATE FEEDBACK

被引：50

作者：

PATEL, RV

MISRA, P

机构：

[1] Concordia Univ, Dep of Electrical, Engineering, Montreal, Que, Can, Concordia Univ, Dep of Electrical Engineering, Montreal, Que, Can

来源：

PROCEEDINGS OF THE IEEE | 1984年 / 72卷 / 12期

关键词：

MATHEMATICAL TECHNIQUES - Eigenvalues and Eigenfunctions;

D O I：

10.1109/PROC.1984.13084

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Numerical algorithms are described for solving the eigenvalue assignment (EVA) Problem for multi-input systems by means of state feedback. The multi-input EVA problem is first reduced to one or more single-input EVA problems where the single-input systems are in 'upper Hessenberg form. ' An algorithm based on the well-known implicitly shifted QR algorithm is then described for solving the single-input EVA problem. Some variations on the use of these algorithms are also proposed to handle certain special cases. Numerical properties of the algorithms are discussed and examples are given to illustrate their numerical performance.

引用

页码：1755 / 1764

页数：10

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