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Identifiability conditions for single or multiple modules in a dynamic network specify under which conditions the considered modules can be uniquely recovered from the second-order statistical properties of the measured signals. Conditions…

Systems and Control · Electrical Eng. & Systems 2021-10-28 Shengling Shi , Xiaodong Cheng , Paul M. J. Van den Hof

Many biological, technological, and social systems can be effectively described as networks of interacting subsystems. Typically, these networks are not isolated objects, but interact with their environment through both signals and…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Amirhossein Nazerian , Malbor Asllani , Melvyn Tyloo , Wai Lim Ku , Francesco Sorrentino

In this technical note, we investigate an optimal output consensus problem for heterogeneous uncertain nonlinear multi-agent systems. The considered agents are described by high-order nonlinear dynamics subject to both static and dynamic…

Optimization and Control · Mathematics 2020-07-21 Yutao Tang , Xinghu Wang

We consider the problem of robustness in large consensus networks that occur in many areas such as distributed optimization. Robustness, in this context, is the scaling of performance measures, e.g. H2-norm, as a function of network…

Systems and Control · Computer Science 2018-02-27 Tuhin Sarkar , Mardavij Roozbehani , Munther A. Dahleh

The collective dynamics of a network of coupled excitable systems in response to an external stimulus depends on the topology of the connections in the network. Here we develop a general theoretical approach to study the effects of network…

Disordered Systems and Neural Networks · Physics 2013-10-22 Daniel B. Larremore , Woodrow L. Shew , Juan G. Restrepo

This paper addresses analytical aspects of deterministic, continuous-time dynamical systems defined on networks. The goal is to model and analyze certain phenomena which must be framed beyond the context of networked dynamical systems,…

Dynamical Systems · Mathematics 2015-01-09 Ricardo Riaza

A robust output feedback consensus problem for networked identical nonlinear negative-imaginary (NI) systems is investigated in this paper. Output consensus is achieved by applying identical linear output strictly negative-imaginary (OSNI)…

Systems and Control · Electrical Eng. & Systems 2021-04-09 Kanghong Shi , Igor G. Vladimirov , Ian R. Petersen

The aim of this paper is to analyze a class of consensus algorithms with finite-time or fixed-time convergence for dynamic networks formed by agents with first-order dynamics. In particular, in the analyzed class a single evaluation of a…

Distributed dynamic compensators, also known as distributed observer, play a key role in the output consensus problem of heterogeneous nonlinear multi-agent systems. However, most existing distributed dynamic compensators require either the…

Optimization and Control · Mathematics 2019-12-18 Guangqi Li , Long Wang

The mutual influence of dynamics and structure is a central issue in complex systems. In this paper we study by simulation slow evolution of network under the feedback of a local-majority-rule opinion process. If performance-enhancing local…

Physics and Society · Physics 2009-11-13 Zhen Shao , Haijun Zhou

This work considers the robustness of uncertain consensus networks. The first set of results studies the stability properties of consensus networks with negative edge weights. We show that if either the negative weight edges form a cut in…

Optimization and Control · Mathematics 2015-03-03 Daniel Zelazo , Mathias Bürger

Dynamic networks consist of interconnected dynamical systems. The subsystems can be viewed as transformations of input signals into output signals, where signals flow from one system into another through interconnections. The signal flows…

Systems and Control · Electrical Eng. & Systems 2026-04-17 E. M. M. , Kivits , Paul M. J. Van den Hof

This paper presents a unified framework for analyzing the input-output behavior of discrete time complex networks viewed as open systems. Importantly, we focus on systems that are inherently modeled in discrete time-such as opinion…

Physics and Society · Physics 2025-11-25 Amirhossein Nazerian , MAlbor Asllani , Melvyn Tyloo , Francesco Sorrentino

Sufficient conditions of consensus (synchronization) in networks described by digraphs and consisting of identical determenistic SIMO systems are derived. Identical and nonidentical control gains (positive arc weights) are considered.…

Optimization and Control · Mathematics 2015-11-13 Ibragim A. Junussov

Collective dynamics result from interactions among noisy dynamical components. Examples include heartbeats, circadian rhythms, and various pattern formations. Because of noise in each component, collective dynamics inevitably involve…

Biological Physics · Physics 2010-09-09 Naoki Masuda , Yoji Kawamura , Hiroshi Kori

It is notoriously difficult to predict the behaviour of a complex self-organizing system, where the interactions among dynamical units form a heterogeneous topology. Even if the dynamics of each microscopic unit is known, a real…

Information Theory · Computer Science 2013-10-01 Rick Quax , Andrea Apolloni , Peter M. A. Sloot

We review selected results related to robustness of networked systems in finite and asymptotically large size regimes, under static and dynamical settings. In the static setting, within the framework of flow over finite networks, we discuss…

Systems and Control · Electrical Eng. & Systems 2019-09-17 Ketan Savla , Jeff S. Shamma , Munther A. Dahleh

In this paper, we propose a new and systematic design framework for output consensus in heterogeneous Multi-Input Multi-Output (MIMO) general nonlinear Multi-Agent Systems (MASs) subjected to directed communication topology. First, the…

Systems and Control · Computer Science 2016-11-15 Dinh Hoa Nguyen

Minimal input/output selection is investigated in this paper for each subsystem of a networked system. Some novel sufficient conditions are derived respectively for the controllability and observability of a networked system, as well as…

Optimization and Control · Mathematics 2019-10-15 Tong Zhou

A classic measure of ecological stability describes the tendency of a community to return to equilibrium after small perturbation. While many advances show how the network structure of these communities severely constrains such tendencies,…

Populations and Evolution · Quantitative Biology 2015-06-09 Gang Yan , Neo D. Martinez , Yang-Yu Liu