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Nonlinear norm-observability notions and stability of switched systems
Open accessAbstract
This work proposes several definitions of "norm-observability" for nonlinear systems and explores relationships among them. These observability properties involve the existence of a bound on the norm of the state in terms of the norms of the output and the input on some time interval. A Lyapunov-like sufficient condition for norm-observability is also obtained. As an application, we prove several variants of LaSalle's stability theorem for switched nonlinear systems. These results are demonstrated to be useful for control design in the presence of switching as well as for developing stability results of Popov type for switched feedback systems.
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Citations
Cited by
Goebel, R., Sanfelice, R. G., & Teel, A. R. (2009) · IEEE Control Systems · doi:10.1109/mcs.2008.931718 · Cited by 1,656
Zhang, L., Zhuang, S., & Shi, P. (2015) · Automatica · doi:10.1016/j.automatica.2015.02.010 · Cited by 260
Chatzis, M. N., Chatzi, E. N., & Smyth, A. W. (2015) · Structural Control and Health Monitoring · doi:10.1002/stc.1690 · Cited by 104
Metadata
- Authors
- Hespanha, J. P., Liberzon, D., Angeli, D., & Sontag, E. D.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2005-02
- Volume
- 50
- Issue
- 2
- Pages
- 154-168
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2123138848
- Cited by
- 311
- References
- 0
- FWCI
- 46.64
- Type
- journal article
- Language
- en
- Open access
- green
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- CoChat. (2026). Citation check: Nonlinear norm-observability notions and stability of switched systems. https://app.cochat.ai/papers/10.1109/tac.2004.841937
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- Hespanha, J. P., Liberzon, D., Angeli, D., & Sontag, E. D. (2005). Nonlinear norm-observability notions and stability of switched systems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2004.841937
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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