5 citations · 18 across the 18 of their papers we have counts for
19 papers
Dual Representations and Proxy Characterization of Norm for Partial Integral Equations
Danilo Braghini, Tristan Thomas, Sachin Shivakumar +2
Duality and dual representations are essential tools for systems theory and controller synthesis. For any finite-dimensional causal linear time-invariant (CLTI) system, there exist…
Impulse-to-Peak-Output Norm Optimal State-Feedback Control of Linear PDEs
Tristan Thomas, Sachin Shivakumar, Javad Mohammadpour Velni
Impulse-to-peak response (I2P) analysis for state-space ordinary differential equation (ODE) systems is a well-studied classical problem. However, the techniques employed for I2P o…
Simulating Arbitrage Optimization for Market Monitoring in Gas and Electricity Transmission Networks
Noah Rhodes, Sachin Shivakumar, Luke S. Baker +2
We examine market outcomes in energy transport networks with a focus on gas-fired generators, which are producers in a wholesale electricity market and consumers in the natural gas…
PIETOOLS 2025: User Manual
Sachin Shivakumar, Declan Jagt, Danilo Braghini +3
The PIETOOLS 2025 User Manual describes all the features of version 2025 of the MATLAB toolbox PIETOOLS for the analysis and control of Partial Integral Equations (PIEs). The manua…
-Optimal Estimation of Linear Delayed and PDE Systems
Danio Braghini, Sachin Shivakumar, Matthew M. Peet
The norm is a commonly used performance metric in the design of estimators. However, -optimal estimation of most PDEs is complicated by the lack of transfer function and…
A Computational Method for -optimal Estimator and State Feedback Controller Synthesis for PDEs
Sachin Shivakumar, Matthew Peet
In this paper, we present solvable, convex formulations of -optimal state estimation and state-feedback control problems for a general class of linear Partial Differential Equ…