Zobrazeno 1 - 10
of 362
pro vyhledávání: '"Zwart, Hans"'
DC networks play an important role within the ongoing energy transition. In this context, simulations of designed and existing networks and their corresponding assets are a core tool to get insights and form a support to decision-making. Hereby, thes
Externí odkaz:
http://arxiv.org/abs/2405.20704
Control design for linear, time-invariant mechanical systems typically requires an accurate low-order approximation in the low frequency range. For example a series expansion of the transfer function around zero consisting of a mass, velocity, and co
Externí odkaz:
http://arxiv.org/abs/2405.00486
A class of linear hyperbolic partial differential equations, sometimes called networks of waves, is considered. For this class of systems, necessary and sufficient conditions are formulated on the system matrices for the operator dynamics to be a Rie
Externí odkaz:
http://arxiv.org/abs/2403.00498
Linear-Quadratic optimal controls are computed for a class of boundary controlled, boundary observed hyperbolic infinite-dimensional systems, which may be viewed as networks of waves. The main results of this manuscript consist in converting the infi
Externí odkaz:
http://arxiv.org/abs/2402.13706
Autor:
Mehrmann, Volker, Zwart, Hans
In this paper we study the representation of partial differential equations (PDEs) as abstract differential-algebraic equations (DAEs) with dissipative Hamiltonian structure (adHDAEs). We show that these systems not only arise when there are constrai
Externí odkaz:
http://arxiv.org/abs/2311.03091
Autor:
Jacob, Birgit, Zwart, Hans
We provide an introduction to infinite-dimensional port-Hamiltonian systems. As this research field is quite rich, we restrict ourselves to the class of infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domainand we wi
Externí odkaz:
http://arxiv.org/abs/2308.01822
Publikováno v:
SIAM J. Control Optim. 62 (2024) 22-41
In this paper we consider BIBO stability of systems described by infinite-dimensional linear state-space representations, filling the so far unattended gap of a formal definition and characterization of BIBO stability in this general case. Furthermor
Externí odkaz:
http://arxiv.org/abs/2303.18148
We consider differential operators $A$ that can be represented by means of a so-called closure relation in terms of a simpler operator $A_{\operatorname{ext}}$ defined on a larger space. We analyze how the spectral properties of $A$ and $A_{\operator
Externí odkaz:
http://arxiv.org/abs/2212.12025
Autor:
Waurick, Marcus, Zwart, Hans
We characterise asymptotic stability of port-Hamiltonian systems by means of matrix conditions using well-known resolvent criteria from $C_0$-semigroup theory. The idea of proof is based on a recent characterisation of exponential stability establish
Externí odkaz:
http://arxiv.org/abs/2210.11775
Autor:
Mamunuzzaman, Mir, Zwart, Hans
This work proposes a structure-preserving model reduction method for linear, time-invariant port-Hamiltonian systems. We show that a low order system of the same type can be constructed which interpolates the original transfer function in a given set
Externí odkaz:
http://arxiv.org/abs/2203.07751