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.

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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 Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
ePrint ID: 271382
Date Deposited: 12 Jul 2010 11:54
Last Modified: 27 Mar 2014 20:16
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/271382

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