| Title | GENERALIZED GAP METRICS AND ROBUST STABILITY OF NONLINEAR SYSTEMS |
| Publication Type | Journal Article |
| Year of Publication | 2011 |
| Authors | BIAN, WENMING |
| Secondary Title | Communications in Applied Analysis |
| Volume | 15 |
| Issue | 2 |
| Start Page | 217 |
| Pagination | 234 |
| Date Published | 04/2011 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 93C10., 93D09, 93D25 |
| Abstract | A gap metric of Georgiou and Smith (IEEE Trans. Auto. Control, 42(9):1200–1229, 1997), which does not need causal and surjective mapping between graphs to define, is studied and generalized based on the notion of biased norm, the corresponding robust stability theorem is presented in the notion of stability with bias terms. The obtained results are then applied to studied the stability of linear system realizations, semilinear systems with bounded nonlinearities and a nonlinear system with time delay in the inputs.
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| URL | http://www.acadsol.eu/en/articles/15/2/7.pdf |
| Short Title | GAP METRICS AND ROBUST STABILITY |
| Refereed Designation | Refereed |
| Full Text | REFERENCES[1] W. Bian and M. French, Graph Topologies, Gap Metrics and Robust Stability for Nonlinear Systems. SIAM Journal of Control and Optimization, 44 (2005), 418 - 443.
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