Lyapunov equation for the stability of 2D systems (Q1610789)
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scientific article; zbMATH DE number 1784483
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lyapunov equation for the stability of 2D systems |
scientific article; zbMATH DE number 1784483 |
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Lyapunov equation for the stability of 2D systems (English)
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20 August 2002
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Necessary and sufficient conditions for the stability of 2D linear systems are established in the form of some linear matrix inequalities. They are directly linked to a class of quadratic Lyapunov functions generating the results in 1D systems theory. The main advantages of the approach are the simplicity of the expression and easy and reliable numerical implementation.
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2-D systems
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internal stability
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quadratic Lyapunov functions
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linear matrix inequalities
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