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A Dual Formulation of Mixed and the Losslessness of (d; G)-scaling
| Content Provider | Semantic Scholar |
|---|---|
| Author | Fu, Minyue |
| Copyright Year | 1997 |
| Abstract | This paper studies the mixed structured singular value () and the well-known (D; G)-scaling upper bound (). A complete characterization of the losslessness of (i.e., being equal to) is derived in terms of the numbers of different perturbation blocks. Speciically, it is shown that is lossless if and only if 2(m r + m c) + m C 3, where m r , m c , and m C are the numbers of repeated real scalar blocks, repeated complex scalar blocks and full complex blocks, respectively. The results hinge on a dual characterization of and , which intimately links with. Further, a special case of the aforementioned losslessness result leads to a variation of the well-known Kalman-Yakubovich-Popov lemma and Lyapunov inequalities. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://murray.newcastle.edu.au/ftp/pub/eemf/papers/dual.ps |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
