New criteria on the stability of interval discrete dynamic systems (Q2744503)
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scientific article; zbMATH DE number 1649077
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New criteria on the stability of interval discrete dynamic systems |
scientific article; zbMATH DE number 1649077 |
Statements
7 January 2003
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robust stability
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interval matrix
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determinant of interval matrices
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characteristic equations
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Schur stability
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criterion of Routh-Hurwitz
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theorem of Jury and Kharitonov
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interval discrete dynamic systems
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0.9591814
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0.9264941
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0.92471254
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0.9212188
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0.9211396
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New criteria on the stability of interval discrete dynamic systems (English)
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The author uses the method of interval analysis of interval continuous dynamic systems to study the asymptotic stability of interval discrete dynamic systems. The criterion of Routh-Hurwitz and the theorem of Jury and Kharitonov are extended to interval discrete dynamic systems, some sufficient conditions are obtained and all these results can be verified by using a computer program. Finally, two examples are provided.
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