Rapisarda, Paolo, Takaba, Kiyotsugu and Kojima, Chiaki
A polynomial algebraic approach to Lyapunov stability analysis of higher-order 2D systems.
In, MTNS 2010, Budapest, Hungary,
05 - 09 Jul 2010.
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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