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.
- Published Version
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.
|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
|Date Deposited:||12 Jul 2010 14:12|
|Last Modified:||02 Mar 2012 11:41|
|Contributors:||Kojima, Chiaki (Author)
Rapisarda, Paolo (Author)
Takaba, Kiyotsugu (Author)
|Further Information:||Google Scholar|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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