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Lyapunov Equation for the Stability of 2-D Systems

Abstract : In this report, an analogue of the characterization of asymptotic stability of the rational systems by the solvability of associated Lyapunov equation is proposed for 2-D systems. It is shown that internal stability of Roesser model is equivalent to the feasibility of some linear matrix inequality (LMI), related to quadratic Lyapunov functions.
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https://hal.inria.fr/inria-00072627
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Submitted on : Wednesday, May 24, 2006 - 10:26:32 AM
Last modification on : Friday, February 4, 2022 - 3:08:44 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:16:09 PM

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  • HAL Id : inria-00072627, version 1

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Pierre-Alexandre Bliman. Lyapunov Equation for the Stability of 2-D Systems. [Research Report] RR-4014, INRIA. 2000. ⟨inria-00072627⟩

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