Igor Mezic

The Koopman Operator in Systems and Control

Lecture notes in control and information sciences · 2020 · 343 citations

Data-driven analysis and forecasting of highway traffic dynamics

Nature Communications · 2020 · 154 citations

The unpredictable elements involved in a vehicular traffic system, like human interaction and weather, lead to a very complicated, high-dimensional, nonlinear dynamical system. Therefore, it is difficult to develop a mathematical or artificial intelligence model that describes the time evolution of traffic systems. All the while, the ever-increasing demands on transportation systems has left traffic agencies in dire need of a robust method for analyzing and forecasting traffic. Here we demonstra…

Control of soft robots with inertial dynamics

Science Robotics · 2023-08-30 · 117 citations

Soft robots promise improved safety and capability over rigid robots when deployed near humans or in complex, delicate, and dynamic environments. However, infinite degrees of freedom and the potential for highly nonlinear dynamics severely complicate their modeling and control. Analytical and machine learning methodologies have been applied to model soft robots but with constraints: quasi-static motions, quasi-linear deflections, or both. Here, we advance the modeling and control of soft robots…

A Koopman operator-based prediction algorithm and its application to COVID-19 pandemic and influenza cases

Scientific Reports · 2024-03-09 · 11 citations

Future state prediction for nonlinear dynamical systems is a challenging task. Classical prediction theory is based on a, typically long, sequence of prior observations and is rooted in assumptions on statistical stationarity of the underlying stochastic process. These algorithms have trouble predicting chaotic dynamics, "Black Swans" (events which have never previously been seen in the observed data), or systems where the underlying driving process fundamentally changes. In this paper we develo…

On Higher Order Drift and Diffusion Estimates for Stochastic SINDy

SIAM Journal on Applied Dynamical Systems · 2024-06-14 · 8 citations