The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Optimal control of switching times in switched dynamical systems
Abstract
This paper considers an optimal control problem for switched dynamical systems, where the objective is to minimize a cost functional defined on the state, and where the control variable consists of the switching times. The gradient of the cost functional is derived on an especially simple form, which lends itself to be directly used in gradient-descent algorithms. This special structure of the gradient furthermore allows for the number of switching points to become part of the control variable, instead of being a given constant. Numerical examples testify to the viability of the proposed approach.
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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
Cited by
Transition-Time Optimization for Switched-Mode Dynamical Systems
Egerstedt, M., Wardi, Y., & Axelsson, H. (2006) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.861711 · Cited by 317
Self-citationKlus, S., Nüske, F., Peitz, S., Niemann, J.-H., Clementi, C., & Schütte, C. (2020) · Physica D: Nonlinear Phenomena · doi:10.1016/j.physd.2020.132416 · Cited by 267
Metadata
- Authors
- Egerstedt, M., Wardi, Y., & Delmotte, F.
- Venue
- 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)
- Publisher
- IEEE
- Published
- 2004-07-08
- Volume
- 3
- Pages
- 2138-2143
- OpenAlex
- W1570351331
- Cited by
- 165
- References
- 1
- FWCI
- 18.54
- Type
- conference paper
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Optimal control of switching times in switched dynamical systems. https://app.cochat.ai/papers/10.1109/cdc.2003.1272934
- The paper
- Egerstedt, M., Wardi, Y., & Delmotte, F. (2004). Optimal control of switching times in switched dynamical systems. 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475). https://doi.org/10.1109/cdc.2003.1272934
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