Control Theory, Especially Distributed and Decentralized Control
Last update: 03 Mar 2004 16:13First version: 3 March 2004
Yet another inadequate placeholder.
- See also:
- Calculus of Variations and Optimal Control Theory
- Cybernetics
- Economics
- Filtering, State Estimation and Signal Processing
- Koopman Operators for Modeling Dynamical Systems and Time Series
- Multi-agent Systems
- Neural Control of Action
- Optimization
- Planned Economies
- Sequential Decision-Making Under Stochastic Uncertainty
- Signal Transduction, Gene Expression and Control of Metabolism
- Time Series
- Transducers
- Recommended, big picture (totally inadequate):
- Benjamin Recht, An Outsider's Tour of Reinforcement Learning [and control theory more broadly]
- Robert F. Stengel, Optimal Control and Estimation
- Norbert Wiener, Cybernetics: Or Control and Communication in the Animal and the Machine
- Recommended, close-ups (if possible even more inadequate):
- Yu-Chi Ho, Marcia P. Kastner and Eugene Wong, "Teams, Signaling, and Information Theory", IEEE Transactions on Automatic Control 23 (1978): 305--312 [Ungated copy via Prof. Wong. Thanks to Maxim Raginsky for the reference.]
- B. A. Francis and Walter Wonham, "The Internal Model Principle of Control Theory", Automatica 12 (1976): 457--465
- Rudolf Kulhavy, Recursive Nonlinear Estimation: A Geometric Approach [Includes, explicitly, estimation in systems subject to external control]
- Maxim Raginsky, "Divergence-based characterization of fundamental limitations of adaptive dynamical systems", arxiv:1010.2286
- Mathukumalli Vidyasagar, A Theory of Learning and Generalization: With Applications to Neural Networks and Control Systems [Control problems only arise in the last chapter, but the previous chapters really are needed to build up to that one. Mini-review]
- To read, history:
- Anuradha M. Annaswamy, Alexander L. Fradkov, "A Historical Perspective of Adaptive Control and Learning", arxiv:2108.11336
- Katherine C. Epstein, Analog Superpowers: How Twentieth-Century Technology Theft Built the National Security State
- David A. Mindell, Between Human and Machine: Feedback, Control, and Computing before Cybernetics
- To read, historical interest:
- I. Gumowski and C. Mira, Optimization in Control Theory and Practice
- To read, overviews / textbooks:
- Pedro Albertos and Iven Mareels, Feedback and Control for Everyone
- Karl J. Astrom and P. R. Kumar, "Control: A Perspective", Automatica 50 (2014): 3--43 [Thanks to Maxim Raginsky for the reference]
- Karl Johan Åström and Richard M. Murray, Feedback Systems: An Introduction for Scientists and Engineers
- J. H. Davis, Foundations of Deterministic and Stochastic Control
- Christopher M. Kellett and Philipp Braun, Introduction to Nonlinear Control: Stability, Control Design, and Estimation [Not in JSTOR yet but the publisher's usually good about that...]
- To read, control + information-theoretic limits thereto:
- Song Fang, Quanyan Zhu
- "Fundamental Limits of Controlled Stochastic Dynamical Systems: An Information-Theoretic Approach", arxiv:2012.12174
- "Information-Theoretic Performance Limitations of Feedback Control: Underlying Entropic Laws and Generic $ L_p $ Bounds", arxiv:1912.05541
- To read, control + learning predictive state representations:
- Byron Boots, Sajid M. Siddiqi, Geoffrey J. Gordon, "Closing the Learning-Planning Loop with Predictive State Representations", arxiv:0912.2385
- Amy Zhang, Zachary C. Lipton, Luis Pineda, Kamyar Azizzadenesheli, Anima Anandkumar, Laurent Itti, Joelle Pineau, Tommaso Furlanello, "Learning Causal State Representations of Partially Observable Environments", arxiv:1906.10437
- To read, control theory as a model for biology (as opposed to controlling biological systems):
- Pablo A. Iglesias and Brian P. Ingalls (eds.), Control Theory and Systems Biology
- Daniel McNamee and Daniel M. Wolpert, "Internal Models in Biological Control", Annual Review of Control, Robotics, and Autonomous Systems 2 (2019): 339--364
- To read, distributed/decentralized control:
- Karl Astrom, Pedro Albertos, Mogens Blanke, Alberto Isidori, Walter Schaufelberger and Ricardo Sanz (eds.), Control of Complex Systems
- M. Ikeda, "Decentralized control of large scale systems", pp. 219--242 in H. Nijmeijer and J. M. Schumacher (eds.), Three Decades of Mathematical System Theory: A Collection of Surveys at the Occasion of the 50th Birthday of Jan C. Willems (1989)
- Dragoslav D. Siljak, Decentralized Control of Complex Systems
- Kaiqing Zhang, Erik Miehling, Tamer Başar, "Online Planning for Decentralized Stochastic Control with Partial History Sharing", arxiv:1908.02357
- To read, control of economies:
- D. McFadden, "On the Controllability of Decentralized Microeconomic Systems," in H. W. Kuhn and G. P. Szego (eds.), Mathematical Systems Theory and Economics (Springer-Verlag, 1967), pp. 221--239
- To read, not otherwise or not yet classified:
- Ari Arapostathis, Vivek S. Borkar, Mrinal K. Ghosh, Ergodic Control of Diffusion Processes
- John Bechhoefer, "Feedback for physicists: A tutorial essay on control", Review of Modern Physics 77 (2005): 783
- Calin Belta and Sadra Sadraddin, "Formal Methods for Control Synthesis: An Optimization Perspective", Annual Review of Control, Robotics, and Autonomous Systems 2 (2019): 115--140
- A. Bensoussan, Stochastic Control of Partially Observable Systems
- Ruslan K. Chornei, Hans Daduna and Pavel S. Knopov, Control of Spatially Structured Random Processes and Random Fields with Applications
- Onno Eberhard, Michael Muehlebach, Claire Vernade, "Partially Observable Reinforcement Learning with Memory Traces", arxiv:2503.15200
- Joao P. Hespanha, Daniel Liberzon and A. Stephen Morse, "Hysteresis-based switching algorithms for supervisory control of uncertain systems", Automatica 39 (2003): 263--272
- Brian P. Ingalls, Eduardo D. Sontag and Yuan Wang, "Measurement to Error Stability: a Notion of Partial Detectability for Nonlinear Systems," math.OC/0202098
- H. J. Kappen, "Path integrals and symmetry breaking for optimal control theory", Journal of Statistical Mechanics: Theory and Experiment (2005): P11011, physics/0505066
- Mikhail Krichman, Eduardo D. Sontag and Yuan Wang, "Input-Output-to-State Stability," math.OC/9911233
- Harold J. Kushner and Paul G. Dupuis, Numerical Methods for Stochastic Control Problems in Continuous Time
- Winfried Lohmiller and Jean-Jacques E. Slotine, "Contraction Analysis of Nonlinear Distributed Systems", math-ph/0403027
- Douglas G. MacMartin and Ben Kravitz, "The Engineering of Climate Engineering", Annual Review of Control, Robotics, and Autonomous Systems 2<./strong> (2019): 445--467
- Gilles Pages, Huyen Pham and Jacques Printems, "An Optimal Markovian Quantization Algorithm for Multi-Dimensional Stochastic Control Problems", Stochastics and Dynamics 4 (2004): 501--545
- Huyen Pham, "On some recent aspects of stochastic control and their applications", math.PR/0509711
- Benjamin Recht, "A Tour of Reinforcement Learning: The View from Continuous Control", Annual Review of Control, Robotics, and Autonomous Systems 2 (2019): 253--279 [Presumably = his blog series in more
boringprofessional dress] - Dawn T. Robinson, "Control Theories in Sociology", Annual Review of Sociology 33 (2007): 157--174
- Michael George Safonov, Stability and Robustness of Multivariable Feedback Systems
- Jan C. Willems, Analysis of Feedback Systems