Cooperative Control of Multi-Agent Systems over Signed Networks: Symmetry and Asymmetry Perspectives

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Computer".

Deadline for manuscript submissions: 30 July 2026 | Viewed by 1417

Special Issue Editor


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Guest Editor
School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China
Interests: cooperative control of multi-agent systems; signed networks; symmetry and asymmetry in networked systems; bipartite consensus and containment; distributed control algorithms
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Special Issue Information

Dear Colleagues,

In recent years, multi-agent systems (MASs) have emerged as a fundamental architecture for distributed coordination in areas such as unmanned aerial vehicles, robotic swarms, sensor networks, and smart grids. Within this domain, signed networks, where agents interact through both cooperative (positive) and antagonistic (negative) links, offer a powerful modeling framework to capture complex, and often competitive, multi-agent interactions.

One of the most intriguing phenomena in signed networks is the emergence of symmetric and asymmetric group behaviors, such as bipartite consensus, flocking with opposing velocities, or clustering into structurally balanced subgroups. These phenomena not only enrich the theoretical landscape of distributed control but also pose novel challenges in terms of stability, convergence, robustness, and system design.

We are pleased to invite you to contribute to this Special Issue, which aims to advance the frontier of cooperative control over signed networks by exploring the dual roles of symmetry and asymmetry in multi-agent system behavior. We seek contributions that delve into both the fundamental theories and practical applications of such control systems, especially under uncertainty, switching topologies, time delays, or adversarial disturbances.

In this Special Issue, original research articles and review papers are welcome. Topics of interest include, but are not limited to, the following:

  • Cooperative control over signed and structurally balanced networks;
  • Bipartite consensus, containment, and flocking over signed networks;
  • Fixed-time and finite-time control of multi-agent systems over signed networks;
  • Effects of antagonistic interactions on global behavior;
  • Trust dynamics, opinion polarization, and social networks modeling;
  • Applications in UAV/UGV swarms, sensor networks, and intelligent transportation systems.

We look forward to receiving your high-quality submissions and to curating a Special Issue that provides a comprehensive view of the cooperative control of multi-agent systems over signed networks from symmetry and asymmetry perspectives.

Dr. Mengji Shi
Guest Editor

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

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Keywords

  • cooperative control
  • multi-agent systems
  • signed networks
  • symmetry
  • asymmetry
  • bipartite consensus
  • distributed algorithms
  • structural balance
  • flocking
  • switching topologies

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Published Papers (2 papers)

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Research

37 pages, 5478 KB  
Article
Dynamic Task Allocation of Swarm Airdrop Based on Multi-Transport Aircraft Cooperation
by Bing Jiang, Kaiyu Qin and Yu Wu
Symmetry 2026, 18(5), 720; https://doi.org/10.3390/sym18050720 - 24 Apr 2026
Viewed by 238
Abstract
The cooperative airdrop of UAV swarms by multiple transport aircraft creates a large-scale multi-agent planning problem. The mission involves heterogeneous aircraft, multi-visit airdrop areas, strict time windows, and threat-aware flight paths. To address these challenges, this work develops an integrated framework for both [...] Read more.
The cooperative airdrop of UAV swarms by multiple transport aircraft creates a large-scale multi-agent planning problem. The mission involves heterogeneous aircraft, multi-visit airdrop areas, strict time windows, and threat-aware flight paths. To address these challenges, this work develops an integrated framework for both global task allocation and real-time replanning in complex three-dimensional operational environments. First, for the combinatorial optimization of task execution sequences across multiple aircraft, a static task assignment method is proposed. This method employs a Hybrid-encoding Constrained Black-winged Kite Algorithm (HCBKA), which incorporates optimization metrics such as mission execution time, completion rate, and load-balancing symmetry among aircraft. The HCBKA aims to find a task assignment scheme that achieves a comprehensive optimum across multiple objectives through efficient model solving. Second, to handle potential real-time dynamic changes during mission execution, a rapid-response and generalizable replanning mechanism is developed. This mechanism utilizes an event-triggered strategy based on a Time-window aware Dynamic Auction Algorithm (TDAA). It ensures that the system can promptly initiate and execute online task reallocation in response to contingencies such as changing mission requirements or losses within its own drone swarm, thus maintaining the adaptability and robustness of the overall plan. Simulation results show that the proposed framework produces high-quality global solutions and maintains strong robustness under dynamic changes. The approach provides an effective and scalable solution for coordinated multi-aircraft swarm airdrop missions. Full article
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17 pages, 2266 KB  
Article
Symmetric Bipartite Containment Tracking of High-Order Networked Agents via Predefined-Time Backstepping Control
by Bowen Chen, Kaiyu Qin, Zhiqiang Li and Mengji Shi
Symmetry 2025, 17(9), 1425; https://doi.org/10.3390/sym17091425 - 2 Sep 2025
Viewed by 848
Abstract
Signed networks, which incorporate both cooperative and antagonistic interactions, naturally give rise to symmetric behaviors in multi-agent systems. One such behavior is bipartite containment tracking, where follower agents converge to a symmetric configuration determined by multiple groups of leaders with opposing influence. Moreover, [...] Read more.
Signed networks, which incorporate both cooperative and antagonistic interactions, naturally give rise to symmetric behaviors in multi-agent systems. One such behavior is bipartite containment tracking, where follower agents converge to a symmetric configuration determined by multiple groups of leaders with opposing influence. Moreover, a timely response is critical to ensuring high performance in containment tracking tasks, particularly for high-order multi-agent systems operating in dynamic and uncertain environments. To this end, this paper investigates the predefined-time bipartite containment tracking problem for high-order multi-agent systems affected by external disturbances. A robust tracking control scheme is developed based on the backstepping method to ensure that the tracking errors converge to a predefined residual set within a user-specified time. The convergence time is explicitly adjustable through a design parameter, and the proposed scheme effectively avoids the singularities often encountered in conventional predefined-time control approaches. The stability and robustness of the proposed scheme are rigorously established through Lyapunov-based analysis, and extensive simulation results are provided to validate our theoretical findings. Full article
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