761 citations · 811 across the 16 of their papers we have counts for
16 papers
Data Driven Learning of Mori-Zwanzig Operators for Isotropic Turbulence
Yifeng Tian, Yen Ting Lin, Marian Anghel +1
Developing reduced-order models for turbulent flows, which contain dynamics over a wide range of scales, is an extremely challenging problem. In statistical mechanics, the Mori-Zwa…
Data-driven learning for the Mori-Zwanzig formalism: a generalization of the Koopman learning framework
Yen Ting Lin, Yifeng Tian, Marian Anghel +1
A theoretical framework which unifies the conventional Mori-Zwanzig formalism and the approximate Koopman learning is presented. In this framework, the Mori-Zwanzig formalism, deve…
Decomposition of Nonlinear Dynamical Networks via Comparison Systems
Abdullah Maruf, Soumya Kundu, Enoch Yeung +1
In analysis and control of large-scale nonlinear dynamical systems, a distributed approach is often an attractive option due to its computational tractability and usually low commu…
A Multiple-Comparison-Systems Method for Distributed Stability Analysis of Large-Scale Nonlinear Systems
Soumya Kundu, Marian Anghel
Lyapunov functions provide a tool to analyze the stability of nonlinear systems without extensively solving the dynamics. Recent advances in sum-of-squares methods have enabled the…
Computation of Linear Comparison Equations for Stability Analysis of Interconnected Systems
Soumya Kundu, Marian Anghel
Sum-of-squares (SOS) methods have been shown to be very useful in computing polynomial Lyapunov functions for systems of reasonably small size. However for large scale systems it i…
Distributed Coordinated Control of Large-Scale Nonlinear Networks
Soumya Kundu, Marian Anghel
We provide a distributed coordinated approach to the stability analysis and control design of large-scale nonlinear dynamical systems by using a vector Lyapunov functions approach.…