58 citations · 197 across the 46 of their papers we have counts for
4 papers · 2 filters
Sample Complexity for Nonlinear Dynamics
Yongxin Chen, Umesh Vaidya
We consider the identification problems for nonlinear dynamical systems. An explicit sample complexity bound in terms of the number of data points required to recover the models ac…
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…
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…
On Data-Driven Computation of Information Transfer for Causal Inference in Dynamical Systems
Subhrajit Sinha, Umesh Vaidya
In this paper, we provide a novel approach to capture causal interaction in a dynamical system from time-series data. In \cite{sinha_IT_CDC2016}, we have shown that the existing me…