Model description:
Consider the following bilinear descriptor system:
$$\begin{pmatrix} 1 & -1\\ 0 & 0 \end{pmatrix}x_{k+1}=\begin{pmatrix} -0.5 & 1\\ -1 & 0 \end{pmatrix}x_{k}+\begin{pmatrix} 0.5 & 0.25\\ -1 & 0.5 \end{pmatrix}x_{k}u_{k}.$$
Type:
Form:
Time domain:
Linearity:
Publication details:
| Title | Stabilization of Discrete-time Bilinear Descriptor Systems |
| Publication Type | Conference Paper |
| Year of Publication | 2006 |
| Authors | Lu, Guoping, Zhang Xiaomei, Tang Hongji, and Zhou Lei |
| Conference Name | The Sixth World Congress on Intelligent Control and Automation, 2006. |
| Date Published | 06/2006 |
| Publisher | IEEE |
| Conference Location | Dalian, China |
| ISBN Number | 1-4244-0332-4 |
| Accession Number | 9187947 |
| Keywords | asymptotic stability, bilinear systems, closed loop systems, discrete time systems, state feedback |
| Abstract | This paper discusses global asymptotic stabilization of a class of discrete-time bilinear descriptor systems. By means of LaSalle invariant principle and the implicit function theorem, a sufficient condition is presented to guarantee the uniqueness and existence of solution and the global asymptotic stability of the resulting closed-loop systems simultaneously. Finally, the effectiveness of the proposed approach is illustrated by a numerical example |
| DOI | 10.1109/WCICA.2006.1712293 |