Nonlinear discrete-time systems are shown to admit exact bilinear representations via separate RKHS lifts of state and input, with stabilization posed as optimization over conditional probability measures.
Kernel-based optimal control: An infinitesimal generator approach,
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Koopman Modeling and Stabilization of Discrete-Time Nonlinear Control Systems: Bilinearity on a Reproducing Kernel Hilbert Space
Nonlinear discrete-time systems are shown to admit exact bilinear representations via separate RKHS lifts of state and input, with stabilization posed as optimization over conditional probability measures.