There has been tremendous work on multi-agent systems (MAS) in recent years. MAS consist of multiple autonomous agents that interact with each order to solve a complex problem. Several applications of MAS can be found in computer networks, smart grids, and the modeling of complex systems. Despite numerous benefits, a significant challenge for MAS is achieving a consensus among agents in a shared target task, which is difficult without applying certain mathematical equations. Non-linear models offer better possibility of resolving consensus for MAS; however, existing non-linear models are considerably complicated and present no guarantees for achieving consensus. This paper proposes a non-linear mathematical model of semi symmetry quadratic operator (SSQO) in order to resolve the issue of consensus in networks of MAS. The model is based on stochastic quadratic operator theory, with added new notations. An important feature for the proposed model is low complexity, fast consensus, and a guaranteed capability to reach a consensus. We present an evaluation of the proposed SSQO model and comparison with other existing models. We demonstrate that an average consensus can be achieved with our model in addition to the emulation effects for the MAS consensus.

中文翻译：

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多代理系统网络中保证共识的快速非线性对称方法

近年来，在多代理系统 (MAS) 方面有大量的工作。MAS 由多个自治代理组成，这些代理与每个订单交互以解决复杂的问题。MAS 在计算机网络、智能电网和复杂系统建模中可以找到多种应用。尽管有很多好处，但 MAS 面临的一个重大挑战是在共享目标任务中实现智能体之间的共识，这在不应用某些数学方程的情况下是困难的。非线性模型为解决 MAS 共识提供了更好的可能性；然而，现有的非线性模型相当复杂，无法保证达成共识。本文提出了一种半对称二次算子(SSQO)的非线性数学模型，以解决MAS网络​​中的共识问题。该模型基于随机二次算子理论，并添加了新符号。所提出模型的一个重要特征是低复杂度、快速共识和有保证的达成共识的能力。我们对提议的 SSQO 模型进行了评估，并与其他现有模型进行了比较。我们证明，除了 MAS 共识的模拟效果之外，我们的模型还可以实现平均共识。