1 citations · 1 across the 2 of their papers we have counts for
8 papers
Singular Dynamic Mode Decompositions
Joel A. Rosenfeld, Rushikesh Kamalapurkar
This manuscript is aimed at addressing several long standing limitations of dynamic mode decompositions in the application of Koopman analysis. Principle among these limitations ar…
An occupation kernel approach to optimal control
Rushikesh Kamalapurkar, Joel A. Rosenfeld
In this effort, a novel operator theoretic framework is developed for data-driven solution of optimal control problems. The developed methods focus on the use of trajectories (i.e.…
Liouville Operators over the Hardy Space
Benjamin P. Russo, Joel A. Rosenfeld
The role of Liouville operators in the study of dynamical systems through the use of occupation measures have been an active area of research in control theory over the past decade…
Motion Tomography via Occupation Kernels
Benjamin P. Russo, Rushikesh Kamalapurkar, Dongsik Chang +1
The goal of motion tomography is to recover a description of a vector flow field using information on the trajectory of a sensing unit. In this paper, we develop a predictor correc…
Theoretical Foundations for the Dynamic Mode Decomposition of High Order Dynamical Systems
Joel A. Rosenfeld, Benjamin P. Russo, Rushikesh Kamalapurkar
Conventionally, data driven identification and control problems for higher order dynamical systems are solved by augmenting the system state by the derivatives of the output to for…
The Gradient descent method from the perspective of fractional calculus
Pham Viet Hai, Joel A. Rosenfeld
Motivated by gradient methods in optimization theory, we give methods based on -fractional derivatives of order in order to solve unconstrained optimization problems. The co…