The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Transition-Time Optimization for Switched-Mode Dynamical Systems
Abstract
This note considers the problem of determining optimal switching times at which mode transitions should occur in multimodal, hybrid systems. It derives a simple formula for the gradient of the cost functional with respect to the switching times, and uses it in a gradient-descent algorithm. Much of the analysis is carried out in the setting of optimization problems involving fixed switching-mode sequences, but a possible extension is pointed out for the case where the switching-mode sequence is a part of the variable. Numerical examples testify to the viability of the proposed approach.
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Citations
Cites
Stability analysis of networked control systems
Walsh, G. C., Ye, H., & Bushnell, L. G. (2002) · IEEE Transactions on Control Systems Technology · doi:10.1109/87.998034 · Cited by 1,693
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
Polak, E. (1997) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-0663-7 · Cited by 914
Stability analysis of networked control systems
(1999) · Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251) · doi:10.1109/acc.1999.786599 · Cited by 473
Optimization. Algorithms and consistent approximations
Terlaky, T. (1998) · European Journal of Operational Research · doi:10.1016/s0377-2217(98)80004-0 · Cited by 457
Optimal control of hybrid systems
Hedlund, S., & Rantzer, A. (2003) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.1999.827981 · Cited by 270
Optimal control of switching times in switched dynamical systems
Egerstedt, M., Wardi, Y., & Delmotte, F. (2004) · 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) · doi:10.1109/cdc.2003.1272934 · Cited by 165
Self-citationXu, X., & Antsaklis, P. J. (2002) · International Journal of Control · doi:10.1080/0020717021000023825 · Cited by 147
Optimal control of switched autonomous systems
Xu, X., & Antsaklis, P. J. (2004) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2002.1185065 · Cited by 118
TRANSITION-TIME OPTIMIZATION FOR SWITCHED SYSTEMS
Axelsson, H., Wardi, Y., & Egerstedt, M. (2005) · IFAC Proceedings Volumes · doi:10.3182/20050703-6-cz-1902.00937 · Cited by 35
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Metadata
- Authors
- Egerstedt, M., Wardi, Y., & Axelsson, H.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2006-01
- Volume
- 51
- Issue
- 1
- Pages
- 110-115
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2102347640
- Cited by
- 317
- References
- 11
- FWCI
- 47.25
- Type
- journal article
- Language
- en
- Open access
- closed
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- Egerstedt, M., Wardi, Y., & Axelsson, H. (2006). Transition-Time Optimization for Switched-Mode Dynamical Systems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2005.861711
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