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The data-driven discovery of dynamics via machine learning is currently pushing the frontiers of modeling and control efforts, and it provides a tremendous opportunity to extend the reach of model predictive control.
Lorenz EN. 1963 Deterministic nonperiodic flow
1963
Earlier work this paper cites.
Akaike H. 1969 Fitting autoregressive models for prediction
1969
Earlier work this paper cites.
Schroeder M. 1970 Synthesis of low-peak-factor signals and binary sequences with low autocorrelation (Corresp.)
1970
Earlier work this paper cites.
Brockett RW. 1976 Volterra series and geometric control theory
1976
Earlier work this paper cites.
Garrard WL, Jordan JM. 1977 Design of nonlinear automatic flight control systems
1977
Earlier work this paper cites.
Takens F. 1981 Detecting strange attractors in turbulence
1981
Earlier work this paper cites.
Boyd S, Chua LO, Desoer CA. 1984 Analytical foundations of Volterra series
1984
Earlier work this paper cites.
Juang JN, Pappa RS. 1985 An eigensystem realization algorithm for modal parameter identification and model reduction
1985
Earlier work this paper cites.
Lippmann R. 1987 An introduction to computing with neural nets
1987
Earlier work this paper cites.
Garcia CE, Prett DM, Morari M. 1989 Model predictive control: theory and practice — a survey
1989
Earlier work this paper cites.
Hornik K, Stinchcombe M, White H. 1989 Multilayer feedforward networks are universal approximators
1989
Earlier work this paper cites.
Rudin LI, Osher S, Fatemi E. 1992 Nonlinear total variation based noise removal algorithms
1992
Earlier work this paper cites.
Maner BR, Doyle FJ, Ogunnaike BA, Pearson RK. 1994 A nonlinear model predictive control scheme using second order Volterra models. In
1994
Earlier work this paper cites.
Venturino E. 1994 The influence of diseases on Lotka-Volterra systems
1994
Earlier work this paper cites.
Draeger A, Engell S, Ranke H. 1995 Model predictive control using neural networks
1995
Earlier work this paper cites.
Tibshirani R. 1996 Regression shrinkage and selection via the lasso
1996
Earlier work this paper cites.
Allgöwer F, Badgwell TA, Qin JS, Rawlings JB, Wright SJ. 1999 Nonlinear predictive control and moving horizon estimation: an introductory overview. In
1999
Earlier work this paper cites.
Morari M, Lee JH. 1999 Model predictive control: past, present and future
1999
Earlier work this paper cites.
Perelson AS, Nelson PW. 1999 Mathematical analysis of HIV-1 dynamics in vivo
1999
Earlier work this paper cites.
Dullerud GE, Paganini F. 2000
2000
Earlier work this paper cites.
Wodarz D. 2001 Helper-dependent vs. helper-independent CTL responses in HIV infection: implications for drug therapy and resistance
2001
Earlier work this paper cites.
Çimen T, Banks SP. 2004 Global optimal feedback control for general nonlinear systems with nonquadratic performance criteria
2004
Earlier work this paper cites.
Skogestad S, Postlethwaite I. 2005
2005
Earlier work this paper cites.
Li K, Peng JX, Irwin GW. 2005 A fast nonlinear model identification method
2005
Earlier work this paper cites.
Lee S, Lee D, Oh H. 2005 Technological forecasting at the Korean stock market: a dynamic competition analysis using Lotka-Volterra model
2005
Earlier work this paper cites.
Mezić I. 2005 Spectral properties of dynamical systems, model reduction and decompositions
2005
Earlier work this paper cites.
Tropp JA. 2006 Just relax: Convex programming methods for identifying sparse signals in noise
2006
Earlier work this paper cites.
Zurakowski R, Teel AR. 2006 A model predictive control based scheduling method for HIV therapy
2006
Cited alongside, same era.
Bongard J, Lipson H. 2007 Automated reverse engineering of nonlinear dynamical systems
2007
Cited alongside, same era.
Aggelogiannaki E, Sarimveis H. 2008 Nonlinear model predictive control for distributed parameter systems using data driven artificial neural network models
2008
Cited alongside, same era.
Peng H, Wu J, Inoussa G, Deng Q, Nakano K. 2009 Nonlinear system modeling and predictive control using the RBF nets-based quasi-linear ARX model
2009
Cited alongside, same era.
Schmidt M, Lipson H. 2009 Distilling free-form natural laws from experimental data
2009
Cited alongside, same era.
Calafiore GC, El Ghaoui LM, Novara C. 2015 Sparse identification of posynomial models
2015
Later among the works it cites.
Sargsyan S, Brunton SL, Kutz JN. 2015 Nonlinear model reduction for dynamical systems using sparse sensor locations from learned libraries
2015
Later among the works it cites.
Kutz JN, Brunton SL, Brunton BW, Proctor JL. 2016
2016
Later among the works it cites.
Brunton SL, Proctor JL, Kutz JN. 2016 Discovering governing equations from data by sparse identification of nonlinear dynamical systems
2016
Later among the works it cites.
Wang T, Gao H, Qiu J. 2016 A combined adaptive neural network and nonlinear model predictive control for multirate networked industrial process control
2016
Later among the works it cites.
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Rowley CW, Mezić I, Bagheri S, Schlatter P, Henningson D. 2009 Spectral analysis of nonlinear flows
2009
Cited alongside, same era.
Schmid PJ. 2010 Dynamic Mode Decomposition of Numerical and Experimental Data
2010
Cited alongside, same era.
Lee JH. 2011 Model predictive control: Review of the three decades of development
2011
Cited alongside, same era.
Chartrand R. 2011 Numerical differentiation of noisy, nonsmooth data
2011
Cited alongside, same era.
Johansen TA. 2011 Introduction to nonlinear model predictive control and moving horizon estimation
2011
Cited alongside, same era.
Pan W, Yuan Y, Gonçalves J, Stan GB. 2012 Reconstruction of arbitrary biochemical reaction networks: A compressive sensing approach. In
2012
Cited alongside, same era.
Holmes PJ, Lumley JL, Berkooz G, Rowley CW. 2012
2012
Cited alongside, same era.
2016
Later among the works it cites.
2016
Later among the works it cites.
Zhang T, Kahn G, Levine S, Abbeel P. 2016 Learning deep control policies for autonomous aerial vehicles with MPC-guided policy search. In
2016
Later among the works it cites.
Proctor JL, Brunton SL, Kutz JN. 2016 Dynamic mode decomposition with control
2016
Later among the works it cites.
Pan W, Yuan Y, Gonçalves J, Stan GB. 2016 A sparse Bayesian approach to the identification of nonlinear state-space systems
2016
Later among the works it cites.
Mangan NM, Brunton SL, Proctor JL, Kutz JN. 2016 Inferring biological networks by sparse identification of nonlinear dynamics
2016
Later among the works it cites.
Su W, Bogdan M, Candès EJ. 2016 False discoveries occur early on the Lasso path
2016
Later among the works it cites.
Tran G, Ward R. 2016 Exact Recovery of Chaotic Systems from Highly Corrupted Data
2016
Later among the works it cites.
Eren U, Prach A, Koçer BB, Raković SV, Kayacan E, Açıkmeşe B. 2017 Model Predictive Control in Aerospace Systems: Current State and Opportunities
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Schaeffer H. 2017 Learning partial differential equations via data discovery and sparse optimization. In
2017
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Quade M, Abel M, Kutz JN, Brunton SL. 2018 Sparse identification of nonlinear dynamics for rapid model recovery
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