A polynomial algebraic approach to Lyapunov stability analysis of higher-order 2D systems
Rapisarda, Paolo, Takaba, Kiyotsugu and Kojima, Chiaki (2010) A polynomial algebraic approach to Lyapunov stability analysis of higher-order 2D systems. In, MTNS 2010, Budapest, Hungary, 05 - 09 Jul 2010.
Download
![[img]](http://eprints.soton.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
- Published Version
Download (337Kb) |
Description/Abstract
We introduce a four-variable polynomial matrix equation which plays an essential role in the stability analysis of discrete 2-D systems and in the computation of Lyapunov functions for such systems; we call this the 2-D polynomial Lyapunov equation (2-D PLE). We also give necessary and sufficient conditions for the stability of ``square'' 2-D systems based on solutions of the 2-D PLE satisfying additional properties.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Additional Information: | Event Dates: July 5-9, 2010 |
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 271382 |
| Date Deposited: | 12 Jul 2010 11:54 |
| Last Modified: | 02 Mar 2012 13:44 |
| Contributors: | Rapisarda, Paolo (Author) Takaba, Kiyotsugu (Author) Kojima, Chiaki (Author) |
| Date: | 5 July 2010 |
| Additional Information: | Event Dates: July 5-9, 2010 |
| Status: | Published |
| Further Information: | Google Scholar |
| URI: | http://eprints.soton.ac.uk/id/eprint/271382 |
Actions (login required)
 |
View Item |
