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In this paper, a distributed multi-agent formation control driven by the gradient of the Lennard-Jones potential is analyzed. For collision-free initial data, we prove global well-posedness together with a uniform lower bound on all…

Systems and Control · Electrical Eng. & Systems 2026-05-06 Hemanta Ban , Seddik M. Djouadi , Kevin Tomsovic

Both biological and artificial self-assembly processes can take place by a range of different schemes, from the successive addition of identical building blocks, to hierarchical sequences of intermediates, all the way to the fully…

Soft Condensed Matter · Physics 2015-08-12 Jim Madge , Mark A. Miller

This paper addresses the consensus problem of first-order continuous-time multi-agent systems over undirected graphs. Each agent samples relative state measurements in a self-triggered fashion and transmits the sum of the measurements to…

Systems and Control · Electrical Eng. & Systems 2023-10-17 Masashi Wakaiki

The optimal conversion of a continuous inter-particle potential to a discrete equivalent is considered here. Existing and novel algorithms are evaluated to determine the best technique for creating accurate discrete forms using the minimum…

Soft Condensed Matter · Physics 2014-02-13 Chris Thomson , Leo Lue , Marcus N. Bannerman

We use computer simulations to study a model, first proposed by Wales [1], for the reversible and monodisperse self-assembly of simple icosahedral virus capsid structures. The success and efficiency of assembly as a function of…

Biomolecules · Quantitative Biology 2010-02-24 Iain G. Johnston , Ard A. Louis , Jonathan P. K. Doye

As one of the most robust global optimization methods, simulated annealing has received considerable attention, with many variations that attempt to improve the cooling schedule. This paper introduces a variant of simulated annealing that…

Chemical Physics · Physics 2020-02-17 Mariia Karabin , Steven J. Stuart

Active constituents burn fuel to sustain individual motion, giving rise to collective effects that are not seen in systems at thermal equilibrium, such as phase separation with purely repulsive interactions. There is a great potential in…

Statistical Mechanics · Physics 2024-02-16 Luke K. Davis , Karel Proesmans , Étienne Fodor

Thanks to a constant energy input, active matter can self-assemble into phases with complex architectures and functionalities such as living clusters that dynamically form, reshape and break-up, which are forbidden in equilibrium materials…

Soft Condensed Matter · Physics 2019-03-27 Falko Schmidt , Benno Liebchen , Hartmut Löwen , Giovanni Volpe

Large language model (LLM)-based multi-agent systems (MASs) are a recent but rapidly evolving technology with the potential to transform chemical engineering by decomposing complex workflows into teams of collaborative agents with…

Multiagent Systems · Computer Science 2025-08-12 Sophia Rupprecht , Qinghe Gao , Tanuj Karia , Artur M. Schweidtmann

We study the self-assembly behaviour of patchy particles with `protein-like' interactions that can be considered as a minimal model for the assembly of viral capsids and other shell-like protein complexes. We thoroughly explore the…

Soft Condensed Matter · Physics 2010-01-21 Alex W. Wilber , Jonathan P. K. Doye , Ard A. Louis , Anna C. F. Lewis

Careful rational synthesis was defined in (Condurache et al. 2021) as a quantitative extension of Fisman et al.'s rational synthesis (Fisman et al. 2010), as a model of multi-agent systems in which agents are interacting in a graph arena in…

Logic in Computer Science · Computer Science 2022-07-21 Rodica Condurache , Catalin Dima , Madalina Jitaru , Youssouf Oualhadj , Nicolas Troquard

Multi-agent approach has become popular in computer science and technology. However, the conventional models of multi-agent and multicomponent systems implicitly or explicitly assume existence of absolute time or even do not include time in…

Multiagent Systems · Computer Science 2017-11-23 Mark Burgin

Increasing energy efficiency in buildings can reduce costs and emissions substantially. Historically, this has been treated as a local, or single-agent, optimization problem. However, many buildings utilize the same types of thermal…

Multiagent Systems · Computer Science 2018-03-12 Hussain Kazmi , Johan Suykens , Johan Driesen

One approach for improving sample efficiency in cooperative multi-agent learning is to decompose overall tasks into sub-tasks that can be assigned to individual agents. We study this problem in the context of reward machines: symbolic tasks…

Multiagent Systems · Computer Science 2025-02-20 Ameesh Shah , Niklas Lauffer , Thomas Chen , Nikhil Pitta , Sanjit A. Seshia

Thermodynamic selection is an indirect competition between agents feeding on the same energy resource and obeying the laws of thermodynamics. We examine scenarios of this selection, where the agent is modeled as a heat-engine coupled to two…

Statistical Mechanics · Physics 2022-05-18 S. G. Babajanyan , E. V. Koonin , A. E. Allahverdyan

In this work, we study an optimal control problem for a multi-agent system modeled by an undirected formation graph with nodes describing the kinematics of each agent, given by a left-invariant control system on a Lie group. The agents…

Optimization and Control · Mathematics 2020-11-26 Leonardo Colombo , Dimos Dimarogonas

In this paper, we study an optimal output consensus problem for a multi-agent network with agents in the form of multi-input multi-output minimum-phase dynamics. Optimal output consensus can be taken as an extended version of the existing…

Optimization and Control · Mathematics 2018-08-22 Yutao Tang , Zhenhua Deng , Yiguang Hong

It can be fruitful to view two-component physical systems of attractive monomers, A and B, ``chemically'' in terms of a reaction A + B <-> C, where C = AB is an associated pair or complex. We show how to construct free energies in the…

Chemical Physics · Physics 2009-10-31 Michael E. Fisher , Daniel M. Zuckerman

Self-organization is a process where a stable pattern is formed by the cooperative behavior between parts of an initially disordered system without external control or influence. It has been introduced to multi-agent systems as an internal…

Artificial Intelligence · Computer Science 2021-05-27 Jieting Luo , Beishui Liao , John-Jules Meyer

Self-assembly, the process by which interacting components form well-defined and often intricate structures, is typically thought of as a spontaneous process arising from equilibrium dynamics. When a system is driven by external…

Statistical Mechanics · Physics 2021-11-12 Shriram Chennakesavalu , Grant M. Rotskoff