5 citations · 16 across the 16 of their papers we have counts for
17 papers
RHYME-XT: A Neural Operator for Spatiotemporal Control Systems
Marijn Ruiter, Miguel Aguiar, Jake Rap +2
We propose RHYME-XT, an operator-learning framework for surrogate modeling of spatiotemporal control systems governed by input-affine nonlinear partial integro-differential equatio…
A -Analysis and Synthesis Framework for Partial Integral Equations using IQCs
Thijs Lenssen, Aleksandr Talitckii, Matthew Peet +1
We develop a -analysis and synthesis framework for infinite-dimensional systems that leverages the Integral Quadratic Constraints (IQCs) to compute the structured singular value…
A Digital Twin of Evaporative Thermo-Fluidic Process in Fixation Unit of DoD Inkjet Printers
Samarth Toolhally, Joeri Roelofs, Siep Weiland +1
In inkjet printing, optimal paper moisture is crucial for print quality, achieved through hot-air impingement in the fixation unit. This paper presents a modular digital twin of th…
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…
Learning Flow Functions from Data with Applications to Nonlinear Oscillators
Miguel Aguiar, Amritam Das, Karl H. Johansson
We describe a recurrent neural network (RNN) based architecture to learn the flow function of a causal, time-invariant and continuous-time control system from trajectory data. By r…
Universal approximation of flows of control systems by recurrent neural networks
Miguel Aguiar, Amritam Das, Karl H. Johansson
We consider the problem of approximating flow functions of continuous-time dynamical systems with inputs. It is well-known that continuous-time recurrent neural networks are univer…
Representation of linear PDEs with spatial integral terms as Partial Integral Equations
Sachin Shivakumar, Amritam Das, Matthew Peet
In this paper, we present the Partial Integral Equation (PIE) representation of linear Partial Differential Equations (PDEs) in one spatial dimension, where the PDE has spatial int…
Learning-based Design of Luenberger Observers for Autonomous Nonlinear Systems
Muhammad Umar B. Niazi, John Cao, Xudong Sun +2
Designing Luenberger observers for nonlinear systems involves the challenging task of transforming the state to an alternate coordinate system, possibly of higher dimensions, where…
Dual Representations and -Optimal Control of Partial Differential Equations
Sachin Shivakumar, Amritam Das, Matthew Peet
We consider $\hinf$-optimal state-feedback control of the class of linear Partial Differential Equations (PDEs) which admit a Partial Integral Equation (PIE) representation. While…
Extension of the Partial Integral Equation Representation to GPDE Input-Output Systems
Sachin Shivakumar, Amritam Das, Siep Weiland +1
It has been shown that the existence of a Partial Integral Equation (PIE) representation of a Partial Differential Equation (PDE) simplifies many numerical aspects of analysis, sim…
Oscillations in Mixed-Feedback Systems
Amritam Das, Thomas Chaffey, Rodolphe Sepulchre
A new method is presented for the analysis of limit cycle oscillations in mixed-feedback systems. The calculation of the limit cycle is reformulated as the zero finding of a mixed-…
PIETOOLS 2022: User Manual
Sachin Shivakumar, Declan Jagt, Danilo Braghini +2
PIETOOLS 2022 manual is a document that describes all the features of the MATLAB toolbox for the analysis and control of Partial Integral Equations (PIEs). The manual is aimed to g…
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…