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20112025
most citedDiscrete Exterior Geometry Approach to Structure-Preserving Discretization of Distributed-Parameter Port-Hamiltonian Systems

50 citations · 259 across the 62 of their papers we have counts for

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17 papers · 1 filter

math.OC2024

Scalable computation of input-normal/output-diagonal balanced realization for control-affine polynomial systems

Nicholas A. Corbin, Arijit Sarkar, Jacquelien M. A. Scherpen +1

We present a scalable tensor-based approach to computing input-normal/output-diagonal nonlinear balancing transformations for control-affine systems with polynomial nonlinearities.…

math.OC2024

A novel switched systems approach to nonconvex optimisation

Joel Ferguson, Saeed Ahmed, Juan E. Machado +2

We develop a novel switching dynamics that converges to the Karush-Kuhn-Tucker (KKT) point of a nonlinear optimisation problem. This new approach is particularly notable for its lo…

math.OC2022

Clustering-Based Average State Observer Design for Large-Scale Network Systems

Muhammad Umar B. Niazi, Xiaodong Cheng, Carlos Canudas-de-Wit +1

This paper addresses the aggregated monitoring problem for large-scale network systems with a few dedicated sensors. Full state estimation of such systems is often infeasible due t…

math.OC2021★ 3 cited

From data to reduced-order models via generalized balanced truncation

Azka Muji Burohman, Bart Besselink, Jacquelien M. A. Scherpen +1

This paper proposes a data-driven model reduction approach on the basis of noisy data. Firstly, the concept of data reduction is introduced. In particular, we show that the set of…

math.OC2021★ 7 cited

Bilevel Aggregator-Prosumers' Optimization Problem in Real-Time: A Convex Optimization Approach

Koorosh Shomalzadeh, Jacquelien M. A. Scherpen, M. Kanat Camlibel

This paper proposes a Real-Time Market (RTM) platform for an aggregator and its corresponding prosumers to participate in the electricity wholesale market. The proposed energy mark…

math.OC2021

model reduction for diffusively coupled second-order networks by convex-optimization

Lanlin Yu, Xiaodong Cheng, Jacquelien M. A. Scherpen +1

This paper provides an optimal scheme for reducing diffusively coupled second-order systems evolving over undirected networks. The aim is to find a reduced-order model that n…

math.OC2021★ 1 cited

Reduced-Order Modeling of Large-Scale Network Systems

Xiaodong Cheng, Jacquelien M. A. Scherpen, Harry L. Trentelman

Large-scale network systems describe a wide class of complex dynamical systems composed of many interacting subsystems. A large number of subsystems and their high-dimensional dyna…

math.OC2020★ 31 cited

Model Reduction Methods for Complex Network Systems

Xiaodong Cheng, Jacquelien M. A. Scherpen

Network systems consist of subsystems and their interconnections, and provide a powerful framework for analysis, modeling and control of complex systems. However, subsystems may ha…

math.OC2020★ 1 cited

Passivity properties for regulation of DC networks with stochastic load demand

Amirreza Silani, Michele Cucuzzella, Jacquelien M. A. Scherpen +1

In this paper we present new (stochastic) passivity properties for Direct Current (DC) power networks, where the unknown and unpredictable load demand is modelled by a stochastic p…

math.OC2020

Novel current actuated piezoelectric composite model with fully dynamic electromagnetic field

Matthijs C. de Jong, Jacquelien M. A. Scherpen

In this paper we propose a novel current actuated fully dynamic piezoelectric composite model. This new model complements the existing modeling framework of deriving piezoelectric…

math.OC2020★ 3 cited

A Real-Time Balancing Market Optimization with Personalized Prices: From Bilevel to Convex

Koorosh Shomalzadeh, Jacquelien M. A. Scherpen, M. Kanat Camlibel

This paper studies the static economic optimization problem of a system with a single aggregator and multiple prosumers in a Real-Time Balancing Market (RTBM). The aggregator, as t…

math.OC2020★ 9 cited

Reduced Order Modeling of Diffusively Coupled Network Systems: An Optimal Edge Weighting Approach

Xiaodong Cheng, Lanlin Yu, Dingchao Ren +1

This paper studies reduced-order modeling of dynamic networks with strongly connected topology. Given a graph clustering of an original complex network, we construct a quotient gra…

math.OC2019

Charging plug-in electric vehicles as a mixed-integer aggregative game

Carlo Cenedese, Filippo Fabiani, Michele Cucuzzella +3

We consider the charge scheduling coordination of a fleet of plug-in electric vehicles, developing a hybrid decision-making framework for efficient and profitable usage of the dist…

math.OC2019★ 4 cited

Gramian-Based Model Reduction of Directed Networks

Xiaodong Cheng, Jacquelien M. A. Scherpen

This paper investigates a model reduction problem for linear directed network systems, in which the interconnections among the vertices are described by general weakly connected di…

math.OC2017★ 1 cited

Balanced Truncation of Networked Linear Passive Systems

Xiaodong Cheng, Jacquelien M. A. Scherpen, Bart Besselink

This paper studies model order reduction of multi-agent systems consisting of identical linear passive subsystems, where the interconnection topology is characterized by an undirec…

math.OC2013

Reaction-Diffusion Systems as Complex Networks

Marko Seslija, Jacquelien M. A. Scherpen, Arjan van der Schaft

The spatially distributed reaction networks are indispensable for the understanding of many important phenomena concerning the development of organisms, coordinated cell behavior,…

math.OC2012★ 4 cited

Port-Hamiltonian systems on discrete manifolds

Marko Seslija, Jacquelien M. A. Scherpen, Arjan van der Schaft

This paper offers a geometric framework for modeling port-Hamiltonian systems on discrete manifolds. The simplicial Dirac structure, capturing the topological laws of the system, i…