Guardian Maps and the Generalized Stability of Parametrized Families of Matrices and Polynomials
| dc.contributor.author | Saydy, Lahcen | en_US |
| dc.contributor.author | Tits, Andre | en_US |
| dc.contributor.author | Abed, Eyad H. | en_US |
| dc.contributor.department | ISR | en_US |
| dc.date.accessioned | 2007-05-23T09:41:50Z | |
| dc.date.available | 2007-05-23T09:41:50Z | |
| dc.date.issued | 1988 | en_US |
| dc.description.abstract | The generalized stability of families of real matrices and polynomials is considered. (Generalized stability is meant in the usual sense of confinementof matrix eigenvalues or polynomial zeros to a prespecified domain in the complex plane, and includes Hurwitz and Schur stability as special cases.)<p>"Guardian maps" and "semiguardian maps" are introduced as a unifying tool for the studyof this problem. Basically these are scalar maps that vanish when theirmatrix or polynomial argument loses stability. Such maps are exhibited for a wide variety of cases of interest corresponding to a generalized stability with respect to domains of the complex plane. <p>In the case of one- and two-parameter families of matrices or polynomials, concise necessary and sufficient conditions for generalized stability arederived. For the general multiparameter case, the problem is transformedinto one of checking that a given map is nonzero for the allowedparameter values.<p><p><I>Note: This is TR 88-69-r1. A previous version of this report, TR 88-69, had a different title. </I><p> | en_US |
| dc.format.extent | 1404627 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1903/4795 | |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | ISR; TR 1988-69 | en_US |
| dc.subject | linear systems | en_US |
| dc.subject | robust control | en_US |
| dc.subject | stability | en_US |
| dc.subject | matrices | en_US |
| dc.subject | polynomials | en_US |
| dc.subject | Intelligent Control Systems | en_US |
| dc.title | Guardian Maps and the Generalized Stability of Parametrized Families of Matrices and Polynomials | en_US |
| dc.type | Technical Report | en_US |
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