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A modified quadratic cost problem and feedback stabilization of a linear system
Abstract
This paper considers a feedback control law for linear systems based on a minimum energy regulator problem with fixed terminal constraints on the state. A modification of this control law based on a receding horizon notion is shown to be asymptotically stable and to result in a new method for stabilizing linear time-varying systems, as well as extending some well-known methods for stabilizing time-invariant systems by state variable feedback.
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Citations
Cited by
Constrained model predictive control: Stability and optimality
Mayne, D. Q., Rawlings, J. B., Rao, C. V., & Scokaert, P. O. M. (2000) · Automatica · doi:10.1016/s0005-1098(99)00214-9 · Cited by 8,736
Model predictive control: past, present and future
Morari, M., & H. Lee, J. (1999) · Computers & Chemical Engineering · doi:10.1016/s0098-1354(98)00301-9 · Cited by 2,335
Robust receding horizon control of constrained nonlinear systems
Michalska, H., & Mayne, D. Q. (1993) · IEEE Transactions on Automatic Control · doi:10.1109/9.262032 · Cited by 1,181
The stability of constrained receding horizon control
Rawlings, J. B., & Muske, K. R. (1993) · IEEE Transactions on Automatic Control · doi:10.1109/9.241565 · Cited by 1,047
(1997) · Elsevier eBooks · doi:10.1016/b978-0-12-526430-3.x5000-4 · Cited by 290
Metadata
- Authors
- Kwon, W., & Pearson, A.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1977-10
- Volume
- 22
- Issue
- 5
- Pages
- 838-842
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2064349031
- Cited by
- 379
- References
- 0
- FWCI
- 9.95
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: A modified quadratic cost problem and feedback stabilization of a linear system. https://app.cochat.ai/papers/10.1109/tac.1977.1101619
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- Kwon, W., & Pearson, A. (1977). A modified quadratic cost problem and feedback stabilization of a linear system. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.1977.1101619
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
