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Koopman Operator Theory for Dynamical Systems and Control Practice

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Spectral operator-theoretic methods, such as those based on Koopman operator spectrum, hold the promise of a unifying approach to linear and nonlinear dynamical systems and control problems. We discuss current theory and practice of applications of Koopman operator methods in dynamical systems and control and its relationship with computational methods. The approach has recently been extended to associate geometrical objects such as isochrons and isostables – using level sets of Koopman eigenfunctions. We will also discuss the relationship between numerical methods such as Dynamic Mode Decomposition and Koopman Mode Decomposition, and extensions of theory to stability of nonlinear systems and control.

This talk is part of the CUED Control Group Seminars series.

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