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This paper studies Gramian-based reachability metrics for bilinear control systems. In the context of complex networks, bilinear systems capture scenarios where an actuator not only can affect the state of a node but also interconnections…

Systems and Control · Computer Science 2016-02-05 Yingbo Zhao , Jorge Cortés

This paper deals with the optimal control of systems governed by nonlinear systems of conservation laws at junctions. The applications considered range from gas compressors in pipelines to open channels management. The existence of an…

Analysis of PDEs · Mathematics 2008-02-26 R. M. Colombo , G. Guerra , M. Herty , V. Sachers

In this paper, we investigate the controllability of a linear time-invariant network following a Laplacian dynamics defined on a threshold graph. In this direction, an algorithm for deriving the modal matrix associated with the Laplacian…

Optimization and Control · Mathematics 2019-04-23 Shima Sadat Mousavi , Mohammad Haeri , Mehran Mesbahi

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

The ability to control network dynamics is essential for ensuring desirable functionality of many technological, biological, and social systems. Such systems often consist of a large number of network elements, and controlling large-scale…

Systems and Control · Electrical Eng. & Systems 2022-08-15 Chao Duan , Takashi Nishikawa , Adilson E. Motter

This letter examines the controllability of consensus dynamics on matrix-weighed networks from a graph-theoretic perspective. Unlike the scalar-weighted networks, the rank of weight matrix introduces additional intricacies into…

Systems and Control · Electrical Eng. & Systems 2020-01-14 Lulu Pan , Haibin Shao , Mehran Mesbahi , Yugeng Xi , Dewei Li

This paper is concerned with the controllability problem of a connected threshold graph following the Laplacian dynamics. An algorithm is proposed to generate a spanning set of orthogonal Laplacian eigenvectors of the graph from a…

Optimization and Control · Mathematics 2018-06-14 Shun-Pin Hsu

This paper studies the controllability of networked multi-input-multi-output (MIMO) systems, in which the network topology is weighted and directed, and the nodes are heterogeneous higher-dimensional linear time-invariant (LTI) dynamical…

Optimization and Control · Mathematics 2020-06-23 Linying Xiang , Peiru Wang , Fei Chen , Guanrong Chen

Lattices are important as models for the node locations in wireless networks for two main reasons: (1) When network designers have control over the placement of the nodes, they often prefer a regular arrangement in a lattice for coverage…

Information Theory · Computer Science 2010-04-02 Martin Haenggi

Large-scale networked systems typically operate under resource constraints, and it is also difficult to exactly obtain the network structure between nodes. To address these issues, this paper investigates a sparse optimal control for…

Optimization and Control · Mathematics 2025-07-25 Takuya Ikeda , Masaaki Nagahara

Network controllability is a powerful tool to study causal relationships in complex systems and identify the driver nodes for steering the network dynamics into desired states. However, due to ill-posed conditions, results become unreliable…

Controlling complex networks is of paramount importance in science and engineering. Despite the recent development of structural-controllability theory, we continue to lack a framework to control undirected complex networks, especially…

Physics and Society · Physics 2013-10-23 Zhengzhong Yuan , Chen Zhao , Zengru Di , Wen-Xu Wang , Ying-Cheng Lai

This paper aims at the study of controllability properties and induced controllability metrics on complex networks governed by a class of (discrete time) linear decision processes with mul-tiplicative noise. The dynamics are given by a…

Optimization and Control · Mathematics 2016-12-15 Tidiane Diallo , Dan Goreac

The interaction of distinct units in physical, social, biological and technological systems naturally gives rise to complex network structures. Networks have constantly been in the focus of research for the last decade, with considerable…

Physics and Society · Physics 2012-08-20 Tamás Nepusz , Tamás Vicsek

Transmission topology control is a tool used by system operators in the role of a control action taken into account as a preventive or corrective action relative to a specific outage or set of outages. However, their inclusion in most…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Emily Little , Sandrine Bortolotti , Jean-Yves Bourmaud , Efthymios Karangelos , Yannick Perez

A common approach to controlling complex networks is to directly control a subset of input nodes, which then controls the remaining nodes via network interactions. While techniques have been proposed for selecting input nodes based on…

Optimization and Control · Mathematics 2014-12-15 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

Many important complex networks, including critical infrastructure and emerging industrial automation systems, are becoming increasingly intricate webs of interacting feedback control loops. A fundamental concern is to quantify the control…

Optimization and Control · Mathematics 2017-07-17 Tyler Summers , Justin Ruths

We consider the design of optimal localized feedback gains for one-dimensional formations in which vehicles only use information from their immediate neighbors. The control objective is to enhance coherence of the formation by making it…

Optimization and Control · Mathematics 2013-04-23 Fu Lin , Makan Fardad , Mihailo R. Jovanović

Recent years have witnessed a wave of research activities in systems science toward the study of population systems. The driving force behind this shift was geared by numerous emerging and ever-changing technologies in life and physical…

Optimization and Control · Mathematics 2019-08-16 Jr-Shin Li , Wei Zhang , Lin Tie

In this paper, we consider the problem of tuning the edge weights of a networked system described by linear time-invariant dynamics. We assume that the topology of the underlying network is fixed and that the set of feasible edge weights is…

Optimization and Control · Mathematics 2020-01-07 Cassiano O. Becker , Sérgio Pequito , George J. Pappas , Victor M. Preciado