Reachability of Black-Box Nonlinear Systems after Koopman Operator Linearization

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2021.08.507 ◽

2021 ◽

Vol 54 (5) ◽

pp. 253-258

Author(s):

Stanley Bak ◽

Sergiy Bogomolov ◽

Parasara Sridhar Duggirala ◽

Adam R. Gerlach ◽

Kostiantyn Potomkin

Keyword(s):

Nonlinear Systems ◽

Black Box ◽

Koopman Operator

Download Full-text

On Modal Properties of the Koopman Operator for Nonlinear Systems with Symmetry

2019 American Control Conference (ACC) ◽

10.23919/acc.2019.8815342 ◽

2019 ◽

Author(s):

Afshin Mesbahi ◽

Jingjing Bu ◽

Mehran Mesbahi

Keyword(s):

Nonlinear Systems ◽

Koopman Operator ◽

Modal Properties

Download Full-text

Linear identification of nonlinear systems: A lifting technique based on the Koopman operator

2016 IEEE 55th Conference on Decision and Control (CDC) ◽

10.1109/cdc.2016.7799269 ◽

2016 ◽

Author(s):

Alexandre Mauroy ◽

Jorge Goncalves

Keyword(s):

Nonlinear Systems ◽

Koopman Operator ◽

Lifting Technique

Download Full-text

Linearization in the large of nonlinear systems and Koopman operator spectrum

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2012.08.017 ◽

2013 ◽

Vol 242 (1) ◽

pp. 42-53 ◽

Author(s):

Yueheng Lan ◽

Igor Mezić

Keyword(s):

Nonlinear Systems ◽

Koopman Operator ◽

Operator Spectrum

Download Full-text

Parameter Estimation and Identification of Nonlinear Systems with the Koopman Operator

Lecture Notes in Control and Information Sciences - The Koopman Operator in Systems and Control ◽

10.1007/978-3-030-35713-9_13 ◽

2020 ◽

pp. 335-357

Author(s):

Alexandre Mauroy ◽

Jorge Goncalves

Keyword(s):

Parameter Estimation ◽

Nonlinear Systems ◽

Koopman Operator

Download Full-text

Black-Box Identification of a Class of Nonlinear Systems by a Recurrent Neurofuzzy Network

IEEE Transactions on Neural Networks ◽

10.1109/tnn.2010.2041068 ◽

2010 ◽

Vol 21 (4) ◽

pp. 672-679 ◽

Author(s):

Marcos A. Gonzalez-Olvera ◽

Yu Tang

Keyword(s):

Nonlinear Systems ◽

Download Full-text

Adaptive control of black-box nonlinear systems using recurrent neural networks

Proceedings of the 36th IEEE Conference on Decision and Control ◽

10.1109/cdc.1997.649486 ◽

2002 ◽

Author(s):

Li Mingzhong ◽

Wang Fuli

Keyword(s):

Neural Networks ◽

Adaptive Control ◽

Nonlinear Systems ◽

Recurrent Neural Networks ◽

Download Full-text

Scenario-Based Set Invariance Verification for Black-Box Nonlinear Systems

IEEE Control Systems Letters ◽

10.1109/lcsys.2020.3001882 ◽

2021 ◽

Vol 5 (1) ◽

pp. 193-198

Author(s):

Zheming Wang ◽

Raphael M. Jungers

Keyword(s):

Nonlinear Systems ◽

Black Box ◽

Download Full-text

The Deep Input-Koopman Operator for Nonlinear Systems

Neural Information Processing - Lecture Notes in Computer Science ◽

10.1007/978-3-030-04239-4_9 ◽

2018 ◽

pp. 97-107

Author(s):

Rongrong Zhu ◽

Yang Cao ◽

Yu Kang ◽

Xuefeng Wang

Keyword(s):

Nonlinear Systems ◽

Koopman Operator

Download Full-text

Balanced Iterative Solvers for Linear Nonsymmetric Systems and Nonlinear Systems with PDE Origins: Efficient Black-Box Stopping Criteria

Journal of Scientific Computing ◽

10.1007/s10915-019-01018-w ◽

2019 ◽

Vol 81 (1) ◽

pp. 271-290 ◽

Author(s):

Pranjal ◽

David Silvester

Keyword(s):

Nonlinear Systems ◽

Black Box ◽

Iterative Solvers ◽

Stopping Criteria ◽

Nonsymmetric Systems

Download Full-text

Black-box identification and simulation of continuous-time nonlinear systems with random processes

IFAC Proceedings Volumes ◽

10.3182/20080706-5-kr-1001.02438 ◽

2008 ◽

Vol 41 (2) ◽

pp. 14391-14396

Author(s):

Sylvain Vinet ◽

Emmanuel Vazquez

Keyword(s):

Nonlinear Systems ◽

Continuous Time ◽

Random Processes ◽

Download Full-text