Controllability and Stability of Matrix Difference Systems

被引：0
|
作者：
Andreou, Spyros [1 ]
Murty, Kanuri N. [1 ]
机构：
[1] Savannah State Univ, Dept Engn Technol, Savannah, GA 31404 USA
来源：
PROCEEDINGS OF THE IEEE SOUTHEASTCON 2009, TECHNICAL PROCEEDINGS | 2009年
关键词：
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This work deals with a discrete-time control system having the form of X(n+1) = AX(n)B. We study the effects of the matrix B. We find the general solution X(n) by solving the difference equation. Then we tackle the two important issues of controllability and stability. We found out that with the A matrix having eigenvalues outside the unit disk, we may select matrix B such that the final solution is stable and more importantly asymptotically stable. Proven theorems along with examples are presented.
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页码：98 / 101
页数：4
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