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When networked systems of autonomous agents carry out complex tasks, the control and coordination sought after generally depend on a few fundamental control primitives. Chief among these primitives is consensus, where agents are to converge…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-13 Bernadette Charron-Bost , Patrick Lambein-Monette

We analyze an extended model of the Iterated Prisoner's Dilemma where agents decide to play based on the data from their limited memory or recommendations. The cooperators can decide whether to play with the matched opponent or not. The…

Computer Science and Game Theory · Computer Science 2022-09-15 Orhun Gorkem , Haluk O. Bingol

We present two main theorems along the lines of Lyapunov's second method that guarantee asymptotic state consensus in multi-agent systems of agents in R^m with switching interconnection topologies. The two theorems complement each other in…

Systems and Control · Computer Science 2014-04-02 Johan Thunberg , Xiaoming Hu

In this work, we introduce a Z-control strategy for multi-agent systems of arbitrary order, aimed at driving the agents toward consensus in the highest-order observable state. The proposed framework supports both direct and indirect control…

Optimization and Control · Mathematics 2025-11-26 Angela Monti , Fasma Diele

This work addresses the output consensus problem of constrained heterogeneous multi-agent systems under a switching network with potential communication delays, where outputs are periodic and characterized by an exosystem. Since periodic…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Shibo Han , Bonan Hou , Chong Jin Ong

We focus on how individual behavior that complies with social norms interferes with performance-based incentive mechanisms in organizations with multiple distributed decision-making agents. We model social norms to emerge from interactions…

General Economics · Economics 2021-02-25 Ravshanbek Khodzhimatov , Stephan Leitner , Friederike Wall

Social consensus is important for society. Sometimes the success of society depends on a consensus (e.g. the decision to pay taxes or to commit to the constitution). Examples for continuous opinion dynamics are discussions about tax rates…

Physics and Society · Physics 2008-03-06 Jan Lorenz

This paper examines the cluster consensus problem of multi-agent systems on matrix-weighted switching networks. Necessary and/or sufficient conditions under which cluster consensus can be achieved are obtained and quantitative…

Systems and Control · Electrical Eng. & Systems 2021-07-22 Lulu Pan , Haibin Shao , Mehran Mesbahi , Dewei Li , Yugeng Xi

The first excitation energy in the two-level pairing model is investigated in terms of the equilibrium and the small fluctuation around it. The basic idea is an extension of results presented in a previous paper by the present authors. In…

Nuclear Theory · Physics 2008-11-26 Y. Tsue , C. Providencia , J. da Providencia , M. Yamamura

This work is concerned with stochastic consensus conditions of multi-agent systems with both time-delays and measurement noises. For the case of additive noises, we develop some necessary conditions and sufficient conditions for stochastic…

Systems and Control · Computer Science 2018-04-20 Xiaofeng Zong , Tao Li , Ji-Feng Zhang

In this paper, the problem of event-triggered consensus for linear continuous-time multi-agent systems is investigated. A new event-triggered consensus protocol based on a predictor is proposed to achieve consensus without continuous…

Systems and Control · Computer Science 2017-02-27 Xiaoyu Liu , Jian Sun , Lihua Dou , Jie Chen

Recent formulation of the Zaller model of mass opinion is generalized to include the interaction between agents. The mechanism of interaction is close to the bounded confidence model. The outcome of the simulation is the probability…

Physics and Society · Physics 2017-11-28 Krzysztof Malarz , Piotr Gronek , Krzysztof Kulakowski

Agents may form coalitions. Each coalition shares its endowment among its agents by applying a sharing rule. The sharing rule induces a coalition formation problem by assuming that agents rank coalitions according to the allocation they…

Theoretical Economics · Economics 2023-10-06 Jorge Alcalde-Unzu , Oihane Gallo , Elena Inarra , Juan D. Moreno-Ternero

This paper utilizes the agent's memory in accelerated consensus for second-order multi-agent systems (MASs). In the case of one-tap memory, explicit formulas for the optimal consensus convergence rate and control parameters are derived by…

Optimization and Control · Mathematics 2023-03-27 Jiahao Dai , Jing-Wen Yi , Li Chai

We consider a linear consensus system with n agents that can switch between r different connectivity patterns. A natural question is which switching law yields the best (or worst) possible speed of convergence to consensus? We formulate…

Optimization and Control · Mathematics 2014-07-10 Orel Ron , Michael Margaliot , Michael S. Branicky

The paper considers the problem of multi-agent consensus in the presence of adversarial agents which may try to prevent and introduce undesired influence on the coordination among the regular agents. To our setting, we extend the so-called…

Systems and Control · Electrical Eng. & Systems 2020-12-25 Hiroki Matsume , Yuan Wang , Hideaki Ishii

A local culture denotes a commonly shared behaviour within a cluster of firms. Similar to social norms or conventions, it is an emergent feature resulting from the firms' interaction in an economic network. To model these dynamics, we…

Physics and Society · Physics 2009-04-07 Patrick Groeber , Frank Schweitzer , Kerstin Press

A continuous-opinion model accounting for the social compromise propensity is theoretically and numerically analysed. An agent's opinion is represented by a real number that can be changed through social interactions with her neighbours.…

Physics and Society · Physics 2025-10-09 Carlos Uriarte , Pablo Rodriguez-Lopez , Nagi Khalil

We introduce and study a model of an interacting population of agents who collaborate in groups which compete for limited resources. Groups are formed by random matching agents and their worth is determined by the sum of the efforts…

Physics and Society · Physics 2009-11-13 Emanuele Pugliese , Claudio Castellano , Matteo Marsili , Luciano Pietronero

The consensus control with optimal cost remains major challenging although consensus control problems have been well studied in recent years. In this paper, we study the consensus control of multi-agent system associated with a given cost…

Optimization and Control · Mathematics 2018-03-28 Juanjuan Xu , Huanshui Zhang