Control of port-Hamiltonian differential-algebraic systems and applications

V Mehrmann, B Unger - Acta Numerica, 2023 - cambridge.org
We discuss the modelling framework of port-Hamiltonian descriptor systems and their use in
numerical simulation and control. The structure is ideal for automated network-based …

Towards a Class of Port-Hamiltonian Systems With Time-Delays

T Breiten, D Hinsen, B Unger - IEEE Transactions on Automatic …, 2024 - ieeexplore.ieee.org
The framework of port-Hamiltonian (pH) systems is a powerful and broadly applicable
modeling paradigm. In this article, we extend the scope of pH systems to time-delay systems …

An improved finiteness test and a systematic procedure to compute the strong ℋ2 norm of differential algebraic systems with multiple delays

SM Mattenet, V De Iuliis, MA Gomez, W Michiels… - Automatica, 2022 - Elsevier
We study the strong ℋ 2 norm of systems modeled by semi-explicit Delay Differential
Algebraic Equations (DDAEs). We recall that the finiteness of the strong ℋ 2 norm is linked to …

On the Strong Relative Degree of Time-Delay Systems with Noncommensurate Delays

W Michiels, B Zhou - SIAM Journal on Control and Optimization, 2022 - SIAM
The fundamental notion of relative degree is studied for a class of linear time-delay systems
of retarded type, where the standard assumption of commensurate delays is dropped …

Towards a modeling class for port-Hamiltonian systems with time-delay

T Breiten, D Hinsen, B Unger - arxiv preprint arxiv:2211.10687, 2022 - arxiv.org
The framework of port-Hamiltonian (pH) systems is a powerful and broadly applicable
modeling paradigm. In this paper, we extend the scope of pH systems to time-delay systems …

Lyapunov-based stability of delayed linear differential algebraic systems

A Al Sawoor, M Sadkane - Applied Mathematics Letters, 2021 - Elsevier
Lyapunov-based stability of delayed linear differential algebraic systems - ScienceDirect
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Decoupling multistep schemes for elliptic-parabolic problems

R Altmann, A Mujahid, B Unger - arxiv preprint arxiv:2407.18594, 2024 - arxiv.org
We study the construction and convergence of decoupling multistep schemes of higher
order using the backward differentiation formulae for an elliptic-parabolic problem, which …

On the notion of strong relative degree and its implications on the design of extended PD-controllers for time-delay systems

WM Zhou, B Zhou - 2023 European Control Conference (ECC), 2023 - ieeexplore.ieee.org
The fundamental notion of relative degree is studied for a class of linear time-delay systems
of retarded type, where the standard assumption of commensurate delays is dropped. Even …

Asymptotic stability analysis of Runge–Kutta methods for differential-algebraic equations with multiple delays

M Wu, Q Yu, J Kuang, H Tian - Calcolo, 2021 - Springer
This paper deals with asymptotic stability of differential-algebraic equations with multiple
delays and numerical solutions generated by Runge–Kutta methods combined with …

How to find all connections in the Pantelides algorithm for delay differential-algebraic equations

D Collin - arxiv preprint arxiv:2202.01772, 2022 - arxiv.org
The Pantelides algorithm for delay differential-algebraic equations (DDAEs) is a method to
structurally analyse such systems with the goal to detect which equations have to be …