scholarly journals Stability analysis method and application of multi-agent systems from the perspective of hybrid systems

2021 ◽  
Vol 54 (9-10) ◽  
pp. 1347-1355
Author(s):  
Zhenhua Yu ◽  
Xiaobo Li ◽  
Emad Abouel Nasr ◽  
Haitham A Mahmoud ◽  
Liang Xu
Keyword(s):  
Stability Analysis ◽  
Hybrid Systems ◽  
Invariant Sets ◽  
Continuous Variables ◽  
Analysis Method ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Complex Adaptive ◽  
Multi Agent ◽  
The Stability

Many multi-agent systems (MASs) can be regarded as hybrid systems that contain continuous variables and discrete events exhibiting both continuous and discrete behavior. An MAS can accomplish complex tasks through communication, coordination, and cooperation among different agents. The complex, adaptive and dynamic characteristics of MASs can affect their stability that is critical for MAS performance. In order to analyze the stability of MASs, we propose a stability analysis method based on invariant sets and Lyapunov’s stability theory. As a typical MAS, an unmanned ground vehicle formation is used to evaluate the proposed method. We design discrete modes and control polices for the MAS composed of unmanned ground vehicles to guarantee that the agents can cooperate with each other to reliably achieve a final assignment. Meanwhile, the stability analysis is given according to the definition of MAS stability. Simulation results illustrate the feasibility and effectiveness of the proposed method.

Consensus Problem of Singular Multi-Agent Systems with Continuous-Time and Fixed Topology

2013 ◽  
Vol 278-280 ◽  
pp. 1687-1691
Author(s):  
Tong Qiang Jiang ◽  
Jia Wei He ◽  
Yan Ping Gao
Keyword(s):  
Continuous Time ◽  
Spanning Tree ◽  
Undirected Graph ◽  
Necessary Condition ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent ◽  
Fixed Topology ◽  
The Stability ◽  
Sufficient And Necessary Condition

The consensus problems of two situations for singular multi-agent systems with fixed topology are discussed: directed graph without spanning tree and the disconnected undirected graph. A sufficient and necessary condition is obtained by applying the stability theory and the system is reachable asymptotically. But for normal systems, this can’t occur in upper two situations. Finally a simulation example is provided to verify the effectiveness of our theoretical result.

Consensus stability in multi-agent systems with periodically switched communication topology using Floquet theory

2020 ◽  
pp. 014233122096905
Author(s):  
Mohammad Maadani ◽  
Eric A Butcher
Keyword(s):  
Feedback Linearization ◽  
Floquet Theory ◽  
Kuramoto Model ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Unstable Subsystems ◽  
Special Cases ◽  
Communication Topology ◽  
Multi Agent ◽  
The Stability

The stability of consensus in linear and nonlinear multi-agent systems with periodically switched communication topology is studied using Floquet theory. The proposed strategy is illustrated for the cases of consensus in linear single-integrator, higher-order integrator, and leader-follower consensus. In addition, the application of Floquet theory in analyzing special cases such as switched systems with joint connectivity, unstable subsystems, and nonlinear systems, including the use of feedback linearization and local linearization in the Kuramoto model, is also studied. By utilizing Floquet theory for multi-agent systems with periodically switched communication topologies, one can simultaneously evaluate the effects of each subsystem’s convergence rate and dwell time on overall behavior. Numerical simulation results are presented to demonstrate the efficacy of the proposed approach in stability analysis of all these cases.

scholarly journals A Lyapunov–Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time Delays

2021 ◽  
Vol 2021 ◽  
pp. 1-20
Author(s):  
A. Stephen ◽  
R. Raja ◽  
J. Alzabut ◽  
Q. Zhu ◽  
M. Niezabitowski ◽  
...  
Keyword(s):  
Time Delays ◽  
Analytical Techniques ◽  
Linear Feedback ◽  
Synchronization Control ◽  
Multi Agent Systems ◽  
Feedback Controllers ◽  
Agent Systems ◽  
Mixed Time Delays ◽  
Multi Agent ◽  
The Stability

This study focuses on mixed time delayed, both leaderless and leader-follower problems of nonlinear multi-agent systems. Here, we find the stability criteria for multi-agent systems (MASs) by utilizing a proposed lemma, the Lyapunov–Krasovskii functions, analytical techniques, Kronecker product, and some general specifications to obtain the asymptotic stability for the constructed MASs. Furthermore, the criteria to establish the synchronization of leader-follower multiagent systems with linear feedback controllers are discussed. Finally, we provide two numerical calculations along with the computational simulations to check the validity of the theoretical findings reported for both leaderless and leader-follower problem in this study.

scholarly journals A New Event-Triggered Type-3 Fuzzy Control System for Multi-Agent Systems: Optimal Economic Efficient Approach for Actuator Activating

Electronics ◽  
2021 ◽  
Vol 10 (24) ◽  
pp. 3122
Author(s):  
Shurong Yan ◽  
Ayman A. Aly ◽  
Bassem F. Felemban ◽  
Meysam Gheisarnejad ◽  
Manwen Tian ◽  
...  
Keyword(s):  
Sufficient Conditions ◽  
Total Sample ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Actuator Failures ◽  
Approximation Errors ◽  
Multi Agent ◽  
The Stability ◽  
Type 3 ◽  
Event Triggered

This study presents a new approach for multi-agent systems (MASs). The agent dynamics are approximated by the suggested type-3 (T3) fuzzy logic system (FLS). Some sufficient conditions based on the event-triggered scheme are presented to ensure the stability under less activation of the actuators. New tuning rules are obtained for T3-FLSs form the stability and robustness examination. The effect of perturbations, actuator failures and approximation errors are compensated by the designed adaptive compensators. Simulation results show that the output of all agents well converged to the leader agent under disturbances and faulty conditions. Additionally, it is shown that the suggested event-triggered scheme is effective and the actuators are updated about 20–40% of total sample times.

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