Construction of General Linear System and Associated Polynomial Bezout Matrix
Huazhang Wu, Bing Li, Mingda Xin · 2020 IEEE International Conference on Power, Intelligent Computing and Systems (ICPICS) · 2020
For given a single input and output controllability or observability linear control system, one can transfer it to a canonical form. In this paper the authors consider an inverse problem of above theory. That is, for given a canonical linear system, we construct a new linear polynomial system which is algebraicly equivalent to the canonical one. Its observability/controllability matrices as well as the associated generalized Bezout matrix are studied. Meanwhile, some analogous expression formulas of the generalized Bezout matrix in terms of the new observability and controllability matrices are obtained.