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This paper studies the controllability of networked relative coupling systems (NRCSs), in which subsystems are of fixed high-order linear dynamics and coupled through relative variables depending on their neighbors, from a structural…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Yuan Zhang , Yuanqing Xia , Dihua Zhai

Influence diagram is a graphical representation of belief networks with uncertainty. This article studies the structural properties of a probabilistic model in an influence diagram. In particular, structural controllability theorems and…

Artificial Intelligence · Computer Science 2013-03-25 Brian Y. Chan , Ross D. Shachter

In this paper, we discuss the controllability of a family of linear time-invariant (LTI) networks defined on a signed graph. In this direction, we introduce the notion of positive and negative signed zero forcing sets for the…

Optimization and Control · Mathematics 2020-05-25 Shima Sadat Mousavi , Mohammad Haeri , Mehran Mesbahi

We study the notion of structured realizability for linear systems defined over graphs. A stabilizable and detectable realization is structured if the state-space matrices inherit the sparsity pattern of the adjacency matrix of the…

Systems and Control · Computer Science 2012-12-11 Laurent Lessard , Maxim Kristalny , Anders Rantzer

We consider a network of identical, first-order linear systems, and investigate how replacing a subset of the systems composing the network with higher-order ones, either taken to be generic or specifically designed, may affect its…

Optimization and Control · Mathematics 2025-04-25 Marco Peruzzo , Giacomo Baggio , Francesco Ticozzi

This paper studies the robustness of large-scale interconnected systems with respect to external disturbances, focussing on their scalability properties. Specifically, a notion of scalability is introduced that asks for these robustness…

Optimization and Control · Mathematics 2020-05-14 Steffi Knorn , Bart Besselink

Network controllability measures how well a networked system can be controlled to a target state, and its robustness reflects how well the system can maintain the controllability against malicious attacks by means of node-removals or…

Systems and Control · Electrical Eng. & Systems 2022-06-02 Yang Lou , Yaodong He , Lin Wang , Guanrong Chen

This paper studies the controllability backbone problem in dynamical networks defined over graphs. The main idea of the controllability backbone is to identify a small subset of edges in a given network such that any subnetwork containing…

Systems and Control · Electrical Eng. & Systems 2023-09-07 Obaid Ullah Ahmad , Waseem Abbas , Mudassir Shabbir

The problem of controllability of the dynamical state of a network is central in network theory and has wide applications ranging from network medicine to financial markets. The driver nodes of the network are the nodes that can bring the…

Statistical Mechanics · Physics 2015-06-19 Giulia Menichetti , Luca Dall'Asta , Ginestra Bianconi

This paper introduces and solves a structural controllability problem for ensembles of switched linear systems. All individual systems in the ensemble are sparse and governed by the same sparsity pattern, and undergo switching among…

Optimization and Control · Mathematics 2026-03-18 Haoyu Yin , Yi Li , Ouyang Du , Bruno Sinopoli , Xudong Chen

The controllability of networked sampled-data systems with zero-order holders on the control and transmission channels is explored, where single- and multi-rate sampling patterns are considered, respectively. The effects of sampling on the…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Zixuan Yang , Xiaofan Wang , Lin Wang

The control of complex systems is an ongoing challenge of complexity research. Recent advances using concepts of structural control deduce a wide range of control related properties from the network representation of complex systems. Here,…

Statistical Mechanics · Physics 2013-12-31 Márton Pósfai , Philipp Hövel

Predicting how the brain can be driven to specific states by means of internal or external control requires a fundamental understanding of the relationship between neural connectivity and activity. Network control theory is a powerful tool…

Neurons and Cognition · Quantitative Biology 2019-08-12 Teresa M. Karrer , Jason Z. Kim , Jennifer Stiso , Ari E. Kahn , Fabio Pasqualetti , Ute Habel , Danielle S. Bassett

The controllability of a network is a theoretical problem of relevance in a variety of contexts ranging from financial markets to the brain. Until now, network controllability has been characterized only on isolated networks, while the vast…

Physics and Society · Physics 2016-02-17 Giulia Menichetti , Luca Dall'Asta , Ginestra Bianconi

In this paper, we consider the state controllability of networked systems, where the network topology is directed and weighted and the nodes are higher-dimensional linear time-invariant (LTI) dynamical systems. We investigate how the…

Systems and Control · Computer Science 2015-11-03 Lin Wang , Guanrong Chen , Xiaofan Wang , Wallace K. S. Tang

In this paper, a necessary and sufficient condition for the controllability of networked systems with heterogeneous dynamics is established where the nodes are higher dimensional linear time invariant systems and the network topology is…

Optimization and Control · Mathematics 2023-01-09 Abhijith Ajayakumar , Raju K george

This letter deals with the controllability issue of complex networks. An index is chosen to quantitatively measure the extent of controllability of given network. The effect of this index is analyzed based on empirical studies on various…

Systems and Control · Computer Science 2017-03-08 Ning Cai

The problem of controlling complex networks is of interest to disciplines ranging from biology to swarm robotics. However, controllability can be too strict a condition, failing to capture a range of desirable behaviors. Herdability, which…

Systems and Control · Computer Science 2018-05-01 Sebastian F. Ruf , Magnus Egersted , Jeff S. Shamma

In this paper we extend the work in the conference paper 'On the Controllability and Observability of Heterogeneous Networked Systems with distinct node dimensions and inner-coupling matrices' wherein the controllability and observability…

Optimization and Control · Mathematics 2024-10-18 Aleena Thomas , Abhijith Ajayakumar , Raju K. George

Signed networks have been a topic of recent interest in the network control community as they allow studying antagonistic interactions in multi-agent systems. Although dynamical characteristics of signed networks have been well-studied,…

Optimization and Control · Mathematics 2017-07-13 Siavash Alemzadeh , Mathias Hudoba de Badyn , Mehran Mesbahi