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A reliable algorithm to compute the spectral set of a polytope of polynomials to prescribed accuracy

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Title A reliable algorithm to compute the spectral set of a polytope of polynomials to prescribed accuracy
 
Creator PALURI, NSV
BARVE, JJ
 
Subject robust root loci
parametric uncertainties
linear-systems
generation
 
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.
 
Publisher ASME-AMER SOC MECHANICAL ENG
 
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
 
Type Article
 
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
 
Language en