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This paper investigates a passivity-based approach to output consensus analysis in heterogeneous networks composed of non-identical agents coupled via nonlinear interactions, in the presence of measurement and/or communication noise.…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Yongkang Su , Sei Zhen Khong , Lanlan Su

This paper deals with identifiability of undirected dynamical networks with single-integrator node dynamics. We assume that the graph structure of such networks is known, and aim to find graph-theoretic conditions under which the state…

Optimization and Control · Mathematics 2018-07-24 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

A general scheme is proposed and tested to control the symmetry breaking instability of a homogeneous solution of a spatially extended multispecies model, defined on a network. The inherent discreteness of the space makes it possible to act…

We establish existence and uniqueness of global, bounded weak solutions to quasilinear PDEs with bounded, uniformly continuous initial data and investigate their properties. Moreover, we establish existence of bounded weak solutions when…

Analysis of PDEs · Mathematics 2026-05-04 Sebastian Bechtel , Pascal Auscher

We propose and analyze a graph model to study the connectivity of interdependent networks. Two interdependent networks of arbitrary topologies are modeled as two graphs, where every node in one graph is supported by supply nodes in the…

Discrete Mathematics · Computer Science 2018-09-10 Jianan Zhang , Eytan Modiano

In this series we introduce and investigate the concept of connectoids, which captures the connectivity structure of various discrete objects like undirected graphs, directed graphs, bidirected graphs, hypergraphs or finitary matroids. In…

Combinatorics · Mathematics 2025-06-17 Nathan Bowler , Florian Reich

This paper considers the notion of herdability, a set-based reachability condition, which asks whether the state of a system can be controlled to be element-wise larger than a non-negative threshold. The basic theory of herdable systems is…

Systems and Control · Computer Science 2018-04-13 Sebastian F. Ruf , Magnus Egerstedt , Jeff S. Shamma

This brief addresses the distributed consensus problem of nonlinear multi-agent systems under a general directed communication topology. Each agent is governed by higher-order dynamics with mismatched uncertainties, multiple completely…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Gang Wang , Chaoli Wang , Zhengtao Ding , Yunfeng Ji

This paper addresses questions regarding controllability for `generic parameter' dynamical systems, i.e. the question whether a dynamical system is `structurally controllable'. Unlike conventional methods that deal with structural…

Optimization and Control · Mathematics 2010-06-29 Madhu N. Belur , Sivaramakrishnan Sivasubramanian

This paper considers the distributed consensus problem of multi-agent systems with general continuous-time linear dynamics. Two distributed adaptive dynamic consensus protocols are proposed, based on the relative output information of…

Systems and Control · Computer Science 2015-01-20 Zhongkui Li , Xiangdong Liu , Wei Ren , Lihua Xie

The article considers systems of interacting particles on networks with adaptively coupled dynamics. Such processes appear frequently in natural processes and applications. Relying on the notion of graph convergence, we prove that for large…

Dynamical Systems · Mathematics 2026-05-20 Sebastian Throm

We consider a directed acyclic network with multiple sources and multiple terminals where each terminal is interested in decoding the sum of independent sources generated at the source nodes. We describe a procedure whereby a simple…

Information Theory · Computer Science 2016-12-23 Ardhendu Tripathy , Aditya Ramamoorthy

The identification of the limiting factors in the dynamical behavior of complex systems is an important interdisciplinary problem which often can be traced to the spectral properties of an underlying network. By deriving a general relation…

Disordered Systems and Neural Networks · Physics 2007-07-03 Adilson E. Motter

In this report, we consider maximal solutions to the induced bounded-degree subgraph problem and relate it to issues concerning stream control in multiple-input multiple-output (MIMO) networks. We present a new distributed algorithm that…

Networking and Internet Architecture · Computer Science 2007-09-10 Harish Sethu

In this paper, we study the leaderless consensus problem for multiple Lagrangian systems in the presence of parametric uncertainties and external disturbances under directed graphs. For achieving asymptotic behavior, a robust continuous…

Systems and Control · Electrical Eng. & Systems 2019-07-26 Jie Mei

This paper presents new results and reinterpretation of existing conditions for strong structural controllability in a structured network determined by the zero/non-zero patterns of edges. For diffusively-coupled networks with self-loops,…

General Topology · Mathematics 2025-09-08 Nam-Jin Park , Seong-Ho Kwon , Yoo-Bin Bae , Byeong-Yeon Kim , Kevin L. Moore , Hyo-Sung Ahn

In this paper, we provide a theoretical analysis for nonlinear discontinuous consensus protocols in networks of multiagents over weighted directed graphs. By integrating the analytic tools from nonsmooth stability analysis and graph theory,…

Optimization and Control · Mathematics 2013-11-26 Liu Bo , Lu Wenlian , Chen Tianping

A networked dynamical system is composed of subsystems interconnected through prescribed interactions. In many engineering applications, however, one subsystem can also affect others through "unintended" interactions that can significantly…

Systems and Control · Electrical Eng. & Systems 2020-09-10 Yili Qian , Domitilla Del Vecchio

We establish well-posedness results for non-autonomous semilinear input-output systems, the central assumption being the scattering-passivity of the considered semilinear system. We consider both systems with distributed control and…

Analysis of PDEs · Mathematics 2021-01-15 Jochen Schmid

This paper, we explore the dynamics of threshold networks on undirected signed graphs. Much attention has been dedicated to understanding the convergence and long-term behavior of this model. Yet, an open question persists: How does the…

Discrete Mathematics · Computer Science 2024-12-23 Eric Goles , Pedro Montealegre , Martín Ríos-Wilson , Sylvain Sené