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This article introduces a decentralized robust optimization framework for safe multi-agent control under uncertainty. Although stochastic noise has been the primary form of modeling uncertainty in such systems, these formulations might fall…

Optimization and Control · Mathematics 2025-08-19 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

In this paper, we show that coherence witness for a single qubit itself yields conditions for nonlocality and entanglement inequalities for multiqubit systems. It also yields a condition for quantum discord in two--qubit systems. It is…

Quantum Physics · Physics 2022-04-25 Sooryansh Asthana

This paper analyzes consensus in multi-agent systems under uniform and nonuniform communication delays, a key challenge in distributed coordination with applications to robotic swarms. It investigates the convergence of a consensus…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Shokoufeh Naderi , Maude Blondin , Sébastien Roy

Representation of a swarm of independent robotic agents under graph-theoretic constructs allows for more formal analysis of convergence properties. We consider the local and global convergence behavior of an N-member swarm of agents in a…

Adaptation and Self-Organizing Systems · Physics 2010-10-26 Gregory K. Fricke , Bruce W. Rogers , Devendra P. Garg

This paper studies the dynamics of a network of diffusively-coupled bistable systems. Under mild conditions and without requiring smoothness of the vector field, we analyze the network dynamics and show that the solutions converge globally…

Optimization and Control · Mathematics 2024-08-09 Gianluca Villani , Luca Scardovi

We introduce the concept of non-uniform input-to-state stability for networks. It combines the uniform global stability with the uniform attractivity of any subnetwork, while it allows for non-uniform convergence of all components. For an…

Optimization and Control · Mathematics 2021-07-29 Andrii Mironchenko

Collective and directed motility or swarming is an emergent phenomenon displayed by many self-organized assemblies of active biological matter such as clusters of embryonic cells during tissue development, cancerous cells during tumor…

Biological Physics · Physics 2016-04-05 Katherine Copenhagen , Ajay Gopinathan

For coupled oscillator networks with Laplacian coupling the master stability function (MSF) has proven a particularly powerful tool for assessing the stability of the synchronous state. Using tools from group theory this approach has…

Dynamical Systems · Mathematics 2018-03-28 Rachel Nicks , Lucie Chambon , Stephen Coombes

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

We consider a $N$-particle interacting particle system with the vision geometrical constraints and reflected noises, proposed as a model for collective behavior of individuals. We rigorously derive a continuity-type of mean-field equation…

Analysis of PDEs · Mathematics 2017-05-12 Young-Pil Choi , Samir Salem

This research investigates the intricate domain of synchronization problem among multiple agents operating within a dynamic fast switching network topology. We concentrate on cluster synchronization within coupled linear system under…

Systems and Control · Electrical Eng. & Systems 2024-02-20 Ku Du , Yu Kang

We study the joint effect of the non-linearity of interactions and noise on coevolutionary dynamics. We choose the coevolving voter model as a prototype framework for this problem. By numerical simulations and analytical approximations we…

Physics and Society · Physics 2020-09-28 Tomasz Raducha , Maxi San Miguel

In this paper, we introduce a novel adaptation of the Raft consensus algorithm for achieving emergent formation control in multi-agent systems with a single integrator dynamics. This strategy, dubbed "Rafting," enables robust cooperation…

Multiagent Systems · Computer Science 2023-08-22 Abbas Tariverdi , Jim Torresen

This paper focuses on the consensus and formation problems of multiagent systems under unknown persistent disturbances. Specifically, we propose a novel method that combines an existing consensus (or formation) algorithm with a new…

Optimization and Control · Mathematics 2013-10-15 Tansel Yucelen , Magnus Egerstedt

Game-theoretical models where the rules of the game and the interaction structure both coevolves with the game dynamics -- multiadaptive games -- capture very flexible situations where cooperation among selfish agents can emerge. In this…

Populations and Evolution · Quantitative Biology 2012-10-10 Sungmin Lee , Petter Holme , Zhi-Xi Wu

In this paper, we study sufficient conditions for the emergence of asymptotic consensus and flocking in a certain class of non-linear generalised Cucker-Smale systems subject to multiplicative communication failures. Our approach is based…

Optimization and Control · Mathematics 2021-05-04 Benoît Bonnet , Émilien Flayac

The paper is devoted to the approximate consensus problem for networks of nonlinear agents with switching topology, noisy and delayed measurements. In contrast to the existing stochastic approximation-based control algorithms (protocols), a…

Systems and Control · Computer Science 2013-06-17 Natalia Amelina , Alexander Fradkov , Yuming Jiang , Dimitrios J. Vergados

The basic interaction unit of many dynamical systems involves more than two nodes. In such situations where networks are not an appropriate modelling framework, it has recently become increasingly popular to turn to higher-order models,…

Physics and Society · Physics 2022-01-12 Rohit Sahasrabuddhe , Leonie Neuhäuser , Renaud Lambiotte

Understanding the stability of complex communities is a central focus in ecology, many important theoretical advancements have been made to identify drivers of ecological stability. However, previous results often rely on the…

Populations and Evolution · Quantitative Biology 2025-04-04 Shuaiying Wang , Yuguang Yang , Aming Li

The mean compositions of individual components can be tuned to control phase behavior in number-conserving passive mixtures. In this work, we investigate the role of variable average density in a system of infinitely many non-reciprocally…

Statistical Mechanics · Physics 2026-04-09 Laya Parkavousi , Suropriya Saha