The DOI matches its Crossref record.
Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
Abstract
Continuing the development of the structured singular value approach to robust control design, the authors investigate the problem of computing mu in the case of mixed real parametric and complex uncertainty. The problem is shown to be equivalent to a smooth constrained finite-dimensional optimization problem. In view of the fact that the functional to be maximized may have several local extrema, an upper bound on mu whose computation is numerically tractable is established; this leads to a sufficient condition of robust stability and performance. A historical perspective on the development of the mu theory is included.>
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
System analysis via integral quadratic constraints
Megretski, A., & Rantzer, A. (1997) · IEEE Transactions on Automatic Control · doi:10.1109/9.587335 · Cited by 1,521
A new discrete-time robust stability condition
de Oliveira, M. C., Bernussou, J., & Geromel, J. C. (1999) · Systems & Control Letters · doi:10.1016/s0167-6911(99)00035-3 · Cited by 1,519
A Survey of Fault Detection, Isolation, and Reconfiguration Methods
Hwang, I., Kim, S., Kim, Y., & Seah, C. E. (2010) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2009.2026285 · Cited by 1,305
Robust Solutions to Least-Squares Problems with Uncertain Data
El Ghaoui, L., & Lebret, H. (1997) · SIAM Journal on Matrix Analysis and Applications · doi:10.1137/s0895479896298130 · Cited by 1,076
Robust Solutions to Uncertain Semidefinite Programs
El Ghaoui, L., Oustry, F., & Lebret, H. (1998) · SIAM Journal on Optimization · doi:10.1137/s1052623496305717 · Cited by 935
Metadata
- Authors
- Fan, M. K. H., Tits, A. L., & Doyle, J. C.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1991
- Volume
- 36
- Issue
- 1
- Pages
- 25-38
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2123173024
- Cited by
- 765
- References
- 0
- FWCI
- 63.39
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics. https://app.cochat.ai/papers/10.1109/9.62265
- The paper
- Fan, M. K. H., Tits, A. L., & Doyle, J. C. (1991). Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics. IEEE Transactions on Automatic Control. https://doi.org/10.1109/9.62265
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
