Linear observer synthesis for nonlinear systems using Koopman Operator framework

[1]  A. Krener,et al.  Nonlinear controllability and observability , 1977 .

[2]  A. Krener,et al.  Nonlinear observers with linearizable error dynamics , 1985 .

[3]  H. Keller.  Non-linear observer design by transformation into a generalized observer canonical form , 1987 .

[4]  R. Temam.  Infinite Dimensional Dynamical Systems in Mechanics and Physics Springer Verlag , 1993 .

[5]  J. Hedrick,et al.  Nonlinear Observers—A State-of-the-Art Survey , 1989 .

[6]  H. Nijmeijer,et al.  New directions in nonlinear observer design , 1999 .

[7]  Robert Engel,et al.  Nonlinear observers for autonomous Lipschitz continuous systems , 2003, IEEE Trans. Autom. Control..

[8]  Andrzej Banaszuk,et al.  Comparison of systems with complex behavior , 2004 .

[9]  I. Mezić.  Spectral Properties of Dynamical Systems, Model Reduction and Decompositions , 2005 .

[10]  Gildas Besancon,et al.  Nonlinear observers and applications , 2007 .

[11]  U. Vaidya.  Converse theorem for almost everywhere stability using Lyapunov measure , 2007, 2007 American Control Conference.

[12]  Umesh Vaidya,et al.  Observability gramian for nonlinear systems , 2007, 2007 46th IEEE Conference on Decision and Control.

[13]  Prashant G. Mehta,et al.  Lyapunov Measure for Almost Everywhere Stability , 2008, IEEE Transactions on Automatic Control.

[14]  Emmanuel Trélat,et al.  Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations , 2007, SIAM J. Control. Optim..

[15]  I. Mezić,et al.  Spectral analysis of nonlinear flows , 2009, Journal of Fluid Mechanics.

[16]  Carl E. Rasmussen,et al.  Gaussian processes for machine learning , 2005, Adaptive computation and machine learning.

[17]  Martin Fischer,et al.  DECOMPOSING BUILDING SYSTEM DATA FOR MODEL VALIDATION AND ANALYSIS USING THE KOOPMAN OPERATOR , 2010 .

[18]  Kai Wang,et al.  Transfer operator approach for computing domain of attraction , 2010, 49th IEEE Conference on Decision and Control (CDC).

[19]  P. Schmid,et al.  Dynamic mode decomposition of numerical and experimental data , 2008, Journal of Fluid Mechanics.

[20]  Sambarta Dasgupta,et al.  Actuator and sensor placement in linear advection PDE , 2011, IEEE Conference on Decision and Control and European Control Conference.

[21]  Takashi Hikihara,et al.  Coherent Swing Instability of Power Grids , 2011, J. Nonlinear Sci..

[22]  I. Mezić,et al.  Applied Koopmanism. , 2012, Chaos.

[23]  Peter J. Schmid,et al.  Sparsity-promoting dynamic mode decomposition , 2012, 1309.4165.

[24]  I. Mezić,et al.  Analysis of Fluid Flows via Spectral Properties of the Koopman Operator , 2013 .

[25]  Igor Mezic,et al.  A spectral operator-theoretic framework for global stability , 2013, 52nd IEEE Conference on Decision and Control.

[26]  Arthur J. Krener,et al.  A Survey of Observers for Nonlinear Dynamical Systems , 2013 .

[27]  Didier Henrion,et al.  Convex Computation of the Region of Attraction of Polynomial Control Systems , 2012, IEEE Transactions on Automatic Control.

[28]  Clarence W. Rowley,et al.  Data fusion via intrinsic dynamic variables: An application of data-driven Koopman spectral analysis , 2014, 1411.5424.

[29]  Matthew O. Williams,et al.  A Kernel-Based Approach to Data-Driven Koopman Spectral Analysis , 2014, 1411.2260.

[30]  J. Nathan Kutz,et al.  Dynamic Mode Decomposition for Real-Time Background/Foreground Separation in Video , 2014, ArXiv.

[31]  Yoshihiko Susuki,et al.  Nonlinear Koopman modes and power system stability assessment without models , 2014, 2014 IEEE PES General Meeting | Conference & Exposition.

[32]  Steven L. Brunton,et al.  On dynamic mode decomposition: Theory and applications , 2013, 1312.0041.

[33]  Clarence W. Rowley,et al.  A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition , 2014, Journal of Nonlinear Science.

[34]  Umesh Vaidya,et al.  Stochastic stability analysis of discrete-time system using Lyapunov measure , 2015, 2015 American Control Conference (ACC).

[35]  Amit Surana,et al.  Koopman operator based nonlinear dynamic textures , 2015, 2015 American Control Conference (ACC).

[36]  Igor Mezic,et al.  Global Stability Analysis Using the Eigenfunctions of the Koopman Operator , 2014, IEEE Transactions on Automatic Control.