4 papers · 1 filter
Koopman--Nemytskii Operator of Nonlinear Controlled Systems and Its Learning for Controller Synthesis
Wentao Tang
While the Koopman operator represents a nonlinear system as a linear operator in a function space, its definition does not involve inputs. For controller synthesis, an operator mod…
Learning the Integral Quadratic Constraints on Plant-Model Mismatch
Wentao Tang
While a characterization of plant-model mismatch is necessary for robust control, the mismatch usually can not be described accurately due to the lack of knowledge about the plant…
Koopman Operator in the Weighted Function Spaces and its Learning for the Estimation of Lyapunov and Zubov Functions
Wentao Tang
The mathematical properties and data-driven learning of the Koopman operator, which represents nonlinear dynamics as a linear mapping on a properly defined functional spaces, have…
Data-Driven Bifurcation Analysis via Learning of Homeomorphism
Wentao Tang
This work proposes a data-driven approach for bifurcation analysis in nonlinear systems when the governing differential equations are not available. Specifically, regularized regre…