The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
System analysis via integral quadratic constraints
Abstract
This paper introduces a unified approach to robustness analysis with respect to nonlinearities, time variations, and uncertain parameters. From an original idea by Yakubovich (1967), the approach has been developed under a combination of influences from the Western and Russian traditions of control theory. It is shown how a complex system can be described, using integral quadratic constraints (IQC) for its elementary components. A stability theorem for systems described by IQCs is presented that covers classical passivity/dissipativity arguments but simplifies the use of multipliers and the treatment of causality. A systematic computational approach is described, and relations to other methods of stability analysis are discussed. Last, but not least, the paper contains a summarizing list of IQCs for important types of system components.
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Cites
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Self-citationRobustness in the presence of mixed parametric uncertainty and unmodeled dynamics
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Time-delay systems: an overview of some recent advances and open problems
Richard, J.-P. (2003) · Automatica · doi:10.1016/s0005-1098(03)00167-5 · Cited by 3,353
A survey of distributed optimization
Yang, T., Yi, X., Wu, J., Yuan, Y., Wu, D., Meng, Z., Hong, Y., Wang, H., Lin, Z., & Johansson, K. H. (2019) · Annual Reviews in Control · doi:10.1016/j.arcontrol.2019.05.006 · Cited by 913
Constructive nonlinear control: a historical perspective
Kokotović, P., & Arcak, M. (2001) · Automatica · doi:10.1016/s0005-1098(01)00002-4 · Cited by 720
On the construction of Lyapunov functions using the sum of squares decomposition
Papachristodoulou, A., & Prajna, S. (2003) · Proceedings of the 41st IEEE Conference on Decision and Control, 2002. · doi:10.1109/cdc.2002.1184414 · Cited by 461
Stability Analysis of Piecewise Affine Networked Control Systems Under Aperiodic Sampling
Wang, X., Chen, G., Wang, Z., & Xia, J. (2025) · IEEE Control Systems Letters · doi:10.1109/lcsys.2025.3593291 · Cited by 2
Metadata
- Authors
- Megretski, A., & Rantzer, A.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1997-06
- Volume
- 42
- Issue
- 6
- Pages
- 819-830
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2097944741
- Cited by
- 1,521
- References
- 13
- FWCI
- 63.43
- Type
- journal article
- Language
- en
- Open access
- closed
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- Megretski, A., & Rantzer, A. (1997). System analysis via integral quadratic constraints. IEEE Transactions on Automatic Control. https://doi.org/10.1109/9.587335
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.
