The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Invariant approximations of the minimal robust positively Invariant set
Abstract
This note provides results on approximating the minimal robust positively invariant (mRPI) set (also known as the 0-reachable set) of an asymptotically stable discrete-time linear time-invariant system. It is assumed that the disturbance is bounded, persistent and acts additively on the state and that the constraints on the disturbance are polyhedral. Results are given that allow for the computation of a robust positively invariant, outer approximation of the mRPI set. Conditions are also given that allow one to a priori specify the accuracy of this approximation.
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Cites
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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
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Self-citationNonlinear control of constrained linear systems via predictive reference management
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Optimization over state feedback policies for robust control with constraints
Goulart, P. J., Kerrigan, E. C., & Maciejowski, J. M. (2006) · Automatica · doi:10.1016/j.automatica.2005.08.023 · Cited by 580
Self-citationEvent-Triggered Robust Distributed MPC for Multi-Agent Systems with A Two-Step Event Verification
Deng, L., Shu, Z., & Chen, T. (2022) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2022.11.322 · Cited by 2
Metadata
- Authors
- Rakovic, S. V., Kerrigan, E. C., Kouramas, K. I., & Mayne, D. Q.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2005-03
- Volume
- 50
- Issue
- 3
- Pages
- 406-410
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2119974577
- Cited by
- 837
- References
- 9
- FWCI
- 45.20
- Type
- journal article
- Language
- en
- Open access
- closed
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- Rakovic, S. V., Kerrigan, E. C., Kouramas, K. I., & Mayne, D. Q. (2005). Invariant approximations of the minimal robust positively Invariant set. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2005.843854
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