The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Perspectives and results on the stability and stabilizability of hybrid systems
Abstract
This paper introduces the concept of a hybrid system and some of the challenges associated with the stability of such systems, including the issues of guaranteeing stability of switched stable systems and finding conditions for the existence of switched controllers for stabilizing switched unstable systems. In this endeavour, this paper surveys the major results in the (Lyapunov) stability of finite-dimensional hybrid systems and then discusses the stronger, more specialized results of switched linear (stable and unstable) systems. A section detailing how some of the results can be formulated as linear matrix inequalities is given. Stability analyses on the regulation of the angle of attack of an aircraft and on the PI control of a vehicle with an automatic transmission are given. Other examples are included to illustrate various results in this paper.
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Citations
Cites
A Unified Framework for Hybrid Control: Model and Optimal Control Theory
Branicky, M. S., Borkar, V. S., & Mitter, S. K. (1998) · IEEE Transactions on Automatic Control · doi:10.1109/9.654885 · Cited by 1,313
Self-citation
Cited by
Goebel, R., Sanfelice, R. G., & Teel, A. R. (2009) · IEEE Control Systems · doi:10.1109/mcs.2008.931718 · Cited by 1,656
Analysis and synthesis of switched linear control systems
Sun, Z., & Ge, S. S. (2005) · Automatica · doi:10.1016/j.automatica.2004.09.015 · Cited by 710
The 2017 IEEE International Conference on Fuzzy Systems
(2016) · IEEE Computational Intelligence Magazine · doi:10.1109/mci.2016.2545826 · Cited by 308
Darabi, A., & Leamy, M. J. (2017) · Nonlinear Dynamics · doi:10.1007/s11071-016-3177-3 · Cited by 38
Metadata
- Authors
- Decarlo, R. A., Branicky, M. S., Pettersson, S., & Lennartson, B.
- Venue
- Proceedings of the IEEE
- Published
- 2000-07
- Volume
- 88
- Issue
- 7
- Pages
- 1069-1082
- ISSN
- 0018-9219 (ISSN-L)
- 1558-2256
- OpenAlex
- W2104958104
- Cited by
- 1,625
- References
- 1
- FWCI
- 52.38
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Perspectives and results on the stability and stabilizability of hybrid systems. https://app.cochat.ai/papers/10.1109/5.871309
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- Decarlo, R. A., Branicky, M. S., Pettersson, S., & Lennartson, B. (2000). Perspectives and results on the stability and stabilizability of hybrid systems. Proceedings of the IEEE. https://doi.org/10.1109/5.871309
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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.
