Matrix conditions for the stability of 2D dynamics (Q1582328)
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scientific article; zbMATH DE number 1513148
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Matrix conditions for the stability of 2D dynamics |
scientific article; zbMATH DE number 1513148 |
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Matrix conditions for the stability of 2D dynamics (English)
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3 October 2000
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The stability of the 2D system \[ x(i,j)= A_1 x(i- 1,j)+ A_2 x(i,j- 1), \] where \(x(i,j)\in \mathbb{R}^n\), \(A_1,A_2\in \mathbb{R}^{n\times n}\) is analyzed. A new notion of stability of a pair of matrices is introduced. Necessary and sufficient conditions for the stability of the system are established. A condition for being free of overflow oscillations in saturation arithmetic is presented.
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discrete system
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stability
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2D system
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overflow oscillations
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