20 citations · 50 across the 24 of their papers we have counts for
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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.…
Stability and Control of Power Systems using Vector Lyapunov Functions and Sum-of-Squares Methods
Soumya Kundu, Marian Anghel
Recently sum-of-squares (SOS) based methods have been used for the stability analysis and control synthesis of polynomial dynamical systems. This analysis framework was also extend…
A Sum-of-Squares approach to the Stability and Control of Interconnected Systems using Vector Lyapunov Functions
Soumya Kundu, Marian Anghel
Stability analysis tools are essential to understanding and controlling any engineering system. Recently sum-of-squares (SOS) based methods have been used to compute Lyapunov based…
Safe Protocols for Generating Power Pulses with Heterogeneous Populations of Thermostatically Controlled Loads
N. A. Sinitsyn, Soumya Kundu, S. Backhaus
We explore methods to use thermostatically controlled loads (TCLs), such as water heaters and air conditioners, to provide ancillary services by assisting in balancing generation a…