On the Robust Stability of 2D Schur Polynomials
| Autor: | N. E. Mastorakis |
|---|---|
| Rok vydání: | 2000 |
| Předmět: |
Discrete mathematics
Polynomial Control and Optimization Applied Mathematics Multivariable calculus Management Science and Operations Research Schur's theorem Schur polynomial Robustness (computer science) Stable polynomial Applied mathematics Kharitonov's theorem Mathematics Characteristic polynomial |
| Zdroj: | Journal of Optimization Theory and Applications. 106:431-439 |
| ISSN: | 1573-2878 0022-3239 |
| Popis: | In this note, the problem of the robust stability for a two-dimensional (two-variable) Schur polynomial which is the characteristic polynomial of a discrete-time linear time-invariant system is investigated. A new approach based on the Rouche theorem is adopted. The extension to the robust stability for multidimensional (multivariable) polynomials is also provided. Interesting sufficient conditions for such robust stability are derived. A two-dimensional example is included to support the theoretical result. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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