The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Stabilizability of Stochastic Linear Systems with Finite Feedback Data Rates
Abstract
Feedback control with limited data rates is an emerging area which incorporates ideas from both control and information theory. A fundamental question it poses is how low the closed-loop data rate can be made before a given dynamical system is impossible to stabilize by any coding and control law. Analogously to source coding, this defines the smallest error-free data rate sufficient to achieve "reliable" control, and explicit expressions for it have been derived for linear time-invariant systems without disturbances. In this paper, the more general case of finite-dimensional linear systems with process and observation noise is considered, the object being mean square state stability. By inductive arguments employing the entropy power inequality of information theory, and a new quantizer error bound, an explicit expression for the infimum stabilizing data rate is derived, under very mild conditions on the initial state and noise probability distributions.
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Cites
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Elia, N., & Mitter, S. K. (2001) · IEEE Transactions on Automatic Control · doi:10.1109/9.948466 · Cited by 1,687
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Tatikonda, S., & Mitter, S. K. (2004) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.831187 · Cited by 1,667
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Cited by
Control and Communication Challenges in Networked Real-Time Systems
Baillieul, J., & Antsaklis, P. J. (2007) · Proceedings of the IEEE · doi:10.1109/jproc.2006.887290 · Cited by 924
Heemels, W. P. M. H., Teel, A. R., van de Wouw, N., & Nešić, D. (2010) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2010.2042352 · Cited by 904
Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach
Donkers, M. C. F., Heemels, W. P. M. H., van de Wouw, N., & Hetel, L. (2011) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2107631 · Cited by 537
Feedback Stabilization Over Signal-to-Noise Ratio Constrained Channels
Braslavsky, J. H., Middleton, R. H., & Freudenberg, J. S. (2007) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2007.902739 · Cited by 401
Feedback Stabilization of Discrete-Time Networked Systems Over Fading Channels
Xiao, N., Xie, L., & Qiu, L. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2012.2183450 · Cited by 271
Metadata
- Authors
- Nair, G. N., & Evans, R. J.
- Venue
- SIAM Journal on Control and Optimization
- Published
- 2004-01
- Volume
- 43
- Issue
- 2
- Pages
- 413-436
- ISSN
- 0363-0129 (ISSN-L)
- 1095-7138
- OpenAlex
- W1978848993
- Cited by
- 720
- References
- 14
- FWCI
- 65.66
- 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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