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THE CONTROL SYSTEM IN THE LINEAR SPACE
Author(s): 
Pages: 21-35
Year: Issue:  1
Journal: Control Theory & Applications

Keyword:  线性空间线性控制系统状态反馈最小多项式标准形生成元对偶空间矩阵表示多项式矩阵不变子空间;
Abstract: In this paper, a linear system S=(A,B,C) is treated as an algebraic object in which A is an operator in a linear space, B a set of column vectors and C a set of functionals ( row vetors). The system structure is ciscussed with algebraic methods. Here the state feedback becomes an operator which is determined by a group of functionals and vectors. In the present paper, the state feedback is also discussed according to an iterative mixed expansion existing between open-loop operator, and closed -loop operator. The methods here have the advantage of simplicity, computational convenience and easiness to be generalized. Furthermore, the relationship between state description and polynomial description of system appears natural.
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