A reliable algorithm to compute the spectral set of a polytope of polynomials to prescribed accuracy
DSpace at IIT Bombay
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Title |
A reliable algorithm to compute the spectral set of a polytope of polynomials to prescribed accuracy
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Creator |
PALURI, NSV
BARVE, JJ |
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Subject |
robust root loci
parametric uncertainties linear-systems generation |
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Description |
We propose an algorithm to compute the spectral set of a polytope of polynomials. The proposed algorithm offers several key guarantees that are not available with existing techniques. It guarantees that the generated spectral set: (i) contains all the actual points, (ii) is computed to a prescribed accuracy, (iii) is computed reliably in face of all kinds of computational errors, and (iv) is computed in a finite number of algorithmic iterations. A further merit is that the computational complexity of the proposed algorithm is O(n) in contrast to O(n(2)) for existing techniques, where n is the degree of the polynomial. The algorithm is demonstrated on a few examples.
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Publisher |
ASME-AMER SOC MECHANICAL ENG
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Date |
2011-07-18T16:36:06Z
2011-12-26T12:50:43Z 2011-12-27T05:36:44Z 2011-07-18T16:36:06Z 2011-12-26T12:50:43Z 2011-12-27T05:36:44Z 2006 |
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Type |
Article
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Identifier |
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 128(2), 400-405
0022-0434 http://dx.doi.org/10.1115/1.2196416 http://dspace.library.iitb.ac.in/xmlui/handle/10054/4984 http://hdl.handle.net/10054/4984 |
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Language |
en
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