Robustness analysis: a case study
The stability test of polynomials whose coefficients depend multilinearly on interval parameters is considered. The authors describe and compare four brute-force solution approaches. These are eigenvalue calculation, zero exclusion from a specified value set, algebraic tests of real and complex Hurw...
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| Veröffentlicht in: | IEEE transactions on automatic control 1990-03, Vol.35 (3), p.352-356 |
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| container_end_page | 356 |
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| container_issue | 3 |
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| container_title | IEEE transactions on automatic control |
| container_volume | 35 |
| creator | Acerkmann, J. Hu, H.Z. Kaesbauer, D. |
| description | The stability test of polynomials whose coefficients depend multilinearly on interval parameters is considered. The authors describe and compare four brute-force solution approaches. These are eigenvalue calculation, zero exclusion from a specified value set, algebraic tests of real and complex Hurwitz roots, and the parameter space method. They are applied to a simple example with two parameters and third-order polynomial. An interesting feature of the example is that it can have an isolated unstable point. The example may be useful as a benchmark for future approaches to the multilinear problem. All four methods are shown to be feasible for the simple example, but they require effort.< > |
| doi_str_mv | 10.1109/9.50358 |
| format | Article |
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| ispartof | IEEE transactions on automatic control, 1990-03, Vol.35 (3), p.352-356 |
| issn | 0018-9286 1558-2523 |
| language | eng |
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| source | IEEE |
| subjects | Aerodynamics Computer aided software engineering Polynomials Robustness Stability Testing Vectors |
| title | Robustness analysis: a case study |
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