3 citations · 5 across the 2 of their papers we have counts for
6 papers
H\infty-Optimal Observer Design for Linear Systems with Delays in States, Outputs and Disturbances
Shuangshuang Wu, Sachin Shivakumar, Matthew M. Peet +1
This paper considers the H\infty-optimal estimation problem for linear systems with multiple delays in states, output, and disturbances. First, we formulate the H\infty-optimal est…
Duality and -Optimal Control Of Coupled ODE-PDE Systems
Sachin Shivakumar, Amritam Das, Siep Weiland +1
In this paper, we present a convex formulation of -optimal control problem for coupled linear ODE-PDE systems with one spatial dimension. First, we reformulate the coup…
PIETOOLS: A Matlab Toolbox for Manipulation and Optimization of Partial Integral Operators
Sachin Shivakumar, Amritam Das, Matthew M. Peet
In this paper, we present PIETOOLS, a MATLAB toolbox for the construction and handling of Partial Integral (PI) operators. The toolbox introduces a new class of MATLAB object, opva…
A Generalized LMI Formulation for Input-Output Analysis of Linear Systems of ODEs Coupled with PDEs
Sachin Shivakumar, Amritam Das, Siep Weiland +1
In this paper, we consider input-output properties of linear systems consisting of PDEs on a finite domain coupled with ODEs through the boundary conditions of the PDE. This framew…
Representation and Stability Analysis of PDE-ODE Coupled Systems
Amritam Das, Sachin Shivakumar, Siep Weiland +1
In this work, we present a scalable Linear Matrix Inequality (LMI) based framework to verify the stability of a set of linear Partial Differential Equations (PDEs) in one spatial d…
A Partial Integral Equation (PIE) Representation of Coupled Linear PDEs and Scalable Stability Analysis using LMIs
Matthew M. Peet
We present a new Partial Integral Equation (PIE) representation of Partial Differential Equations (PDEs) in which it is possible to use convex optimization to perform stability ana…