Lyapunov stability analysis of higher-order 2D systems
Kojima, Chiaki, Rapisarda, Paolo and Takaba, Kiyotsugu (2010) Lyapunov stability analysis of higher-order 2D systems. Multidimensional Systems and Signal Processing, 22, 287-302.
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Description/Abstract
We prove a necessary and sufficient condition for the asymptotic stability of a 2D system described by a system of higher-order linear partial difference equations. We show that asymptotic stability is equivalent to the existence of a vector Lyapunov functional satisfying certain positivity conditions together with its divergence along the system trajectories. We use the behavioral framework and the calculus of quadratic difference forms based on four-variable polynomial algebra.
| Item Type: | Article |
|---|---|
| Keywords: | 2D system, Lyapunov function, quadratic difference form, polynomial Lyapunov equation |
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 271388 |
| Date Deposited: | 12 Jul 2010 14:12 |
| Last Modified: | 02 Mar 2012 11:41 |
| Contributors: | Kojima, Chiaki (Author) Rapisarda, Paolo (Author) Takaba, Kiyotsugu (Author) |
| Date: | 2010 |
| Status: | Published |
| Publisher: | Springer |
| Further Information: | Google Scholar |
| URI: | http://eprints.soton.ac.uk/id/eprint/271388 |
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