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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

This paper investigates the distributed optimal output consensus problem of heterogeneous linear multi-agent systems over weight-unbalanced directed networks. A novel distributed continuous-time state feedback controller is proposed to…

Optimization and Control · Mathematics 2022-09-02 Jin Zhang , Lu Liu , Haibo Ji , Xinghu Wang

Power system coherency refers to the phenomenon that machines in a power network exhibit similar frequency responses after disturbances, and is foundational for model reduction and control design. Despite abundant empirical observations,…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Yixuan Liu , Yingzhu Liu , Pengcheng You

We show that subsets of interacting oscillators may synchronize in different ways within a single network. This diversity of synchronization patterns is promoted by increasing the heterogeneous distribution of coupling weights and/or…

Pattern Formation and Solitons · Physics 2017-04-05 Daniel Malagarriga , Alessandro E. P. Villa , Jordi García-Ojalvo , Antonio J. Pons

This paper derives distributed conditions that guarantee the system-wide stability for power systems with nonlinear and heterogeneous bus dynamics interconnected via power network. Our conditions require each bus dynamics should satisfy…

Systems and Control · Electrical Eng. & Systems 2019-10-31 Peng Yang , Feng Liu , Zhaojian Wang , Chen Shen

This paper constructs a framework to describe and study the coordinated output regulation problem for multiple heterogeneous linear systems. Each agent is modeled as a general linear multiple-input multiple-output system with an autonomous…

Systems and Control · Computer Science 2014-02-12 Ziyang Meng , Tao Yang , Dimos V. Dimarogonas , Karl H. Johansson

For fully connected populations of diffusively coupled bistable elements, we identified three qualitatively distinct mechanisms of noise-induced escape as coupling strength varies [H. Ishii and H. Kori, arXiv:2512.01388 (2025)]. Here we…

Adaptation and Self-Organizing Systems · Physics 2026-03-02 Hidemasa Ishii , Hiroshi Kori

Networked dynamical systems are common throughout science in engineering; e.g., biological networks, reaction networks, power systems, and the like. For many such systems, nonlinearity drives populations of identical (or near-identical)…

Dynamical Systems · Mathematics 2023-02-10 James Koch , Zhao Chen , Aaron Tuor , Jan Drgona , Draguna Vrabie

In this paper, we propose a multiplex proportional-integral approach, for solving consensus problems in networks of heterogeneous nodes dynamics affected by constant disturbances. The proportional and integral actions are deployed on two…

Systems and Control · Computer Science 2015-12-10 Daniel Alberto Burbano Lombana , Mario di Bernardo

In this paper, we present new results for the synchronization and consensus of networks described by Ito stochastic differential equations. From the methodological viewpoint, our results are based on the use of stochastic Lyapunov…

Dynamical Systems · Mathematics 2016-02-23 Giovanni Russo , Robert Shorten

This paper considers the consensus problem for a network of nodes with random interactions and sampled-data control actions. We first show that consensus in expectation, in mean square, and almost surely are equivalent for a general random…

Systems and Control · Computer Science 2016-08-24 Junfeng Wu , Ziyang Meng , Tao Yang , Guodong Shi , Karl H. Johansson

The network paradigm is used to gain insight into the structural root causes of the resilience of consensus in dynamic collective behaviors, and to analyze the controllability of the swarm dynamics. Here we devise the dynamic signaling…

Physics and Society · Physics 2014-01-14 Mohammad Komareji , Roland Bouffanais

We study identification and inference in nonlinear dynamic systems defined on unknown interaction networks. The system evolves through an unobserved dependence matrix governing cross-sectional shock propagation via a nonlinear operator. We…

Machine Learning · Statistics 2026-04-08 Diego Vallarino

This paper studies the problem of output agreement in networks of nonlinear dynamical systems under time-varying disturbances. Necessary and sufficient conditions for output agreement are derived for the class of incrementally passive…

Systems and Control · Computer Science 2013-02-05 Mathias Burger , Claudio De Persis

The purpose of this short paper is to provide a theoretical analysis for the consensus problem under nonlinear protocols. A main contribution of this work is to generalize the previous consensus problems under nonlinear protocols for…

Dynamical Systems · Mathematics 2008-04-24 Xiwei Liu , Tianping Chen

We study synchronization and consensus in a group of dynamical systems coupled via multiple directed networks. We show that even though the coupling in a single network may not be sufficient to synchronize the systems, combination of…

Systems and Control · Electrical Eng. & Systems 2021-05-07 Chai Wah Wu

We consider stationary consensus protocols for networks of dynamic agents with switching topologies. The measure of the neighbors' state is affected by Unknown But Bounded disturbances. Here the main contribution is the formulation and…

Optimization and Control · Mathematics 2007-05-23 Dario Bauso , Laura Giarré , Raffaele Pesenti

We study distributed output feedback control for a heterogeneous multi-agent system (MAS), consisting of N different continuous-time linear dynamical systems. For achieving output consensus, a virtual reference model is assumed to generate…

Optimization and Control · Mathematics 2016-10-31 Luis D. Alvergue , Abhishek Pandey , Guoxiang Gu , Xiang Chen

This paper examines the consensus problem on time-varying matrix-weighed undirected networks. First, we introduce the matrix-weighted integral network for the analysis of such networks. Under mild assumptions on the switching pattern of the…

Systems and Control · Electrical Eng. & Systems 2020-01-31 Lulu Pan , Haibin Shao , Mehran Mesbahi , Yugeng Xi , Dewei Li

In spite of a few attempts in understanding the dynamical robustness of complex networks, this extremely important subject of research is still in its dawn as compared to the other dynamical processes on networks. We hereby consider the…

Adaptation and Self-Organizing Systems · Physics 2022-03-24 Soumen Majhi