The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
Abstract
We introduce some analysis tools for switched and hybrid systems. We first present work on stability analysis. We introduce multiple Lyapunov functions as a tool for analyzing Lyapunov stability and use iterated function systems theory as a tool for Lagrange stability. We also discuss the case where the switched systems are indexed by an arbitrary compact set. Finally, we extend Bendixson's theorem to the case of Lipschitz continuous vector fields, allowing limit cycle analysis of a class of "continuous switched" systems.
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Cites
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Variable structure systems with sliding modes
Utkin, V. (1977) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1977.1101446 · Cited by 5,367
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Vidyasagar, M., & Desoer, C. A. (1980) · IEEE Transactions on Systems, Man, and Cybernetics · doi:10.1109/tsmc.1980.4308549 · Cited by 2,011
Van der Schaft, A. (1994) · Automatica · doi:10.1016/0005-1098(94)90103-1 · Cited by 1,376
Computation of piecewise quadratic Lyapunov functions for hybrid systems
Johansson, M., & Rantzer, A. (1998) · IEEE Transactions on Automatic Control · doi:10.1109/9.664157 · Cited by 1,222
Stability theory for hybrid dynamical systems
Ye, H., Michel, A. N., & Hou, L. (1998) · IEEE Transactions on Automatic Control · doi:10.1109/9.664149 · Cited by 815
Introduction to dynamic systems
(2016) · Structural Dynamics · doi:10.1201/9781315375311-5 · Cited by 567
Hybrid Models for Motion Control Systems
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Studies in hybrid systems: modeling, analysis, and control
Branicky, M. S. (1996) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 338
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Goebel, R., Sanfelice, R. G., & Teel, A. R. (2009) · IEEE Control Systems · doi:10.1109/mcs.2008.931718 · Cited by 1,656
Perspectives and results on the stability and stabilizability of hybrid systems
Decarlo, R. A., Branicky, M. S., Pettersson, S., & Lennartson, B. (2000) · Proceedings of the IEEE · doi:10.1109/5.871309 · Cited by 1,625
Self-citationAsynchronously switched control of switched linear systems with average dwell time
Zhang, L., & Gao, H. (2010) · Automatica · doi:10.1016/j.automatica.2010.02.021 · Cited by 787
Controllers for reachability specifications for hybrid systems
Lygeros, J., Tomlin, C., & Sastry, S. (1999) · Automatica · doi:10.1016/s0005-1098(98)00193-9 · Cited by 608
Identification of piecewise affine systems via mixed-integer programming
Roll, J., Bemporad, A., & Ljung, L. (2004) · Automatica · doi:10.1016/j.automatica.2003.08.006 · Cited by 386
Metadata
- Authors
- Branicky, M. S.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1998-04
- Volume
- 43
- Issue
- 4
- Pages
- 475-482
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2118741873
- Cited by
- 3,281
- References
- 22
- FWCI
- 77.88
- Type
- journal article
- Language
- en
- Open access
- closed
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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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