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Koopman Resolvent: A Laplace-Domain Analysis of Nonlinear Autonomous Dynamical Systems
[article]
2021
arXiv
pre-print
The motivation of our research is to establish a Laplace-domain theory that provides principles and methodology to analyze and synthesize systems with nonlinear dynamics. A semigroup of composition operators defined for nonlinear autonomous dynamical systems -- the Koopman semigroup and its associated Koopman generator -- plays a central role in this study. We introduce the resolvent of the Koopman generator, which we call the Koopman resolvent, and provide its spectral characterization for
arXiv:2009.11544v2
fatcat:cc5nljq46zds7lwhuu5s6ppmvy