Lyapunov Equation for the Stability of 2-D Systems |
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| Authors: | Bliman Pierre-Alexandre |
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| Affiliation: | (1) I.N.R.I.A., Rocquencourt, B.P. 105, 78153 Le Chesnay Cedex, France |
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| Abstract: | An analogue of the characterization of asymptotic stability of the 1-D systems by the solvability of associated Lyapunov equation is proposed here 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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| Keywords: | 2-D systems internal stability quadratic Lyapunov functions linear matrix inequalities |
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