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math.OC2019
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…
math.AP2019
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…