58 citations · 106 across the 9 of their papers we have counts for
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math.OC2018★ 1 cited
Feedback Stabilization Using Koopman Operator
Bowen Huang, Xu Ma, Umesh Vaidya
In this paper, we provide a systematic approach for the design of stabilizing feedback controllers for nonlinear control systems using the Koopman operator framework. The Koopman o…
eess.SY2018★ 4 cited
Data-Driven Optimal Control Using Perron-Frobenius Operator
Apurba Kumar Das, Bowen Huang, Umesh Vaidya
In this paper, we propose a data-driven approach for control of nonlinear dynamical systems. The proposed data-driven approach relies on transfer Koopman and Perron-Frobenius (P-F)…
math.OC2018★ 58 cited
On Robust Computation of Koopman Operator and Prediction in Random Dynamical Systems
Subhrajit Sinha, Huang Bowen, Umesh Vaidya
In the paper, we consider the problem of robust approximation of transfer Koopman and Perron-Frobenius (P-F) operators from noisy time series data. In most applications, the time-s…