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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 At MTNS 2010, Hungary. 05 - 09 Jul 2010.

Record type: Conference or Workshop Item (Paper)


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.

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Published date: 5 July 2010
Additional Information: Event Dates: July 5-9, 2010
Venue - Dates: MTNS 2010, Hungary, 2010-07-05 - 2010-07-09
Organisations: Southampton Wireless Group


Local EPrints ID: 271382
PURE UUID: 08b20204-cfbe-4628-8b66-ca8fa0774129

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Date deposited: 12 Jul 2010 11:54
Last modified: 18 Jul 2017 06:43

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Author: Paolo Rapisarda
Author: Kiyotsugu Takaba
Author: Chiaki Kojima

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