58 citations · 197 across the 46 of their papers we have counts for
8 papers · 1 filter
A Transfer Operator Methodology for Optimal Sensor Placement Accounting for Uncertainty
Himanshu Sharma, Umesh Vaidya, Baskar Ganapathysubramanian
Sensors in buildings are used for a wide variety of applications such as monitoring air quality, contaminants, indoor temperature, and relative humidity. These are used for accessi…
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 Information Transfer Based Characterization of Power System Stability
Subhrajit Sinha, Pranav Sharma, Umesh Vaidya +1
In this paper, we present a novel approach to identify the generators and states responsible for the small-signal stability of power networks. To this end, the newly developed noti…
Transfer Operator Theoretic Framework for Monitoring Building Indoor Environment in Uncertain Operating Conditions
Himanshu Sharma, Anthony D. Fontanini, Umesh Vaidya +1
Dynamical system-based linear transfer Perron- Frobenius (P-F) operator framework is developed to address analysis and design problems in the building system. In particular, the pr…
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…
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…