Stability in terms of two measures for matrix differential equations and graph differential equations (Q2825925)
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scientific article; zbMATH DE number 6638676
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability in terms of two measures for matrix differential equations and graph differential equations |
scientific article; zbMATH DE number 6638676 |
Statements
13 October 2016
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matrix differential equations
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graph differential equations
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stability in two measures
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Lyapunov methods
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comparison principle
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Stability in terms of two measures for matrix differential equations and graph differential equations (English)
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The paper studies stability properties in terms of two measures for matrix differential equations using the basic Lyapunov theorems and the comparison method. Utilizing the isomorphism between the graphs and matrices, these results have been extended to the graph differential equations. The paper also contains a separate section with examples that illustrate the proved results. A general comparison principle that links the stability properties of the null graph of the graph differential equation and the stability properties of the associated matrix differential equation has been proved at the end of the paper.
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