58 citations · 106 across the 9 of their papers we have counts for
9 papers
Deep Koopman Learning of Nonlinear Time-Varying Systems
Wenjian Hao, Bowen Huang, Wei Pan +2
This paper presents a data-driven approach to approximate the dynamics of a nonlinear time-varying system (NTVS) by a linear time-varying system (LTVS), which is resulted from the…
A Convex Approach to Data-driven Optimal Control via Perron-Frobenius and Koopman Operators
Bowen Huang, Umesh Vaidya
The paper is about the data-driven computation of optimal control for a class of control affine deterministic nonlinear systems. We assume that the control dynamical system model i…
Data-driven Identification and Prediction of Power System Dynamics Using Linear Operators
Pranav Sharma, Bowen Huang, Umesh Vaidya +1
In this paper, we propose linear operator theoretic framework involving Koopman operator for the data-driven identification of power system dynamics. We explicitly account for nois…
Data-Driven Nonlinear Stabilization Using Koopman Operator
Bowen Huang, Xu Ma, Umesh Vaidya
We propose the application of Koopman operator theory for the design of stabilizing feedback controller for a nonlinear control system. The proposed approach is data-driven and rel…
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…
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)…
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…
Data-Driven Approximation of Transfer Operators: Naturally Structured Dynamic Mode Decomposition
Bowen Huang, Umesh Vaidya
In this paper, we provide a new algorithm for the finite dimensional approximation of the linear transfer Koopman and Perron-Frobenius operator from time series data. We argue that…
A Spatial Model of City Growth and Formation
David Aldous, Bowen Huang
We introduce a model in which city populations grow at rates proportional to the area of their "sphere of influence", where the influence of a city depends on its population (to po…