activity
20182020
most citedRepresentation and Stability Analysis of PDE-ODE Coupled Systems

3 citations · 3 across the 2 of their papers we have counts for

collaborators

6 papers

math.NA2021

Structure Preserving Discretization of 1D Nonlinear Port-Hamiltonian Distributed Parameter Systems

B. C. van Huijgevoort, S. Weiland, H. J. Zwart

This paper contributes with a new formal method of spatial discretization of a class of nonlinear distributed parameter systems that allow a port-Hamiltonian representation over a…

eess.SY2020

Pitfalls of Guaranteeing Asymptotic Stability in LPV Control of Nonlinear Systems

P. J. W. Koelewijn, G. Sales Mazzoccante, R. Tóth +1

Recently, a number of counter examples have surfaced where Linear Parameter-Varying (LPV) control synthesis applied to achieve asymptotic output tracking and disturbance rejection…

math.OC2020

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…

eess.SY2019

Model reduction for linear parameter-varying systems through parameter projection

Sil Schouten, Daming Lou, Siep Weiland

For affine linear parameter-varying (LPV) systems, this paper develops two parameter reduction methods for reducing the dimension of the parameter space. The first method achieves…

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…

math.OC20183 cited

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…