Agreement Via The Edge Laplacian

This work examines the problem of overrealization of second-order nonlinear multi-agent systems, with quantified measurements. Under the edge agreement, the authors present an important concept on the essential Laplacian edge and also obtain a scale model of the edge tuning dynamics based on the Spanning Tree Subgraph. The quantified problem of conformity of second-order nonlinear multi-agent systems is examined, taking into account both uniform and logarithmic quantifiers. Not only do the authors guarantee the stability of the proposed quantified control law, but they also show the explicit mathematical link between the quantified interval and the convergence characteristics, both for uniform quantifiers and for logarithmic quantifiers, which have not been addressed so far. Especially for uniform quantifiers, they indicate the upper limit of the radius of the non-convention and indicate that the radius increases with the quantization interval. Whereas for logarithmic quantifiers, agents converge exponentially towards the desired concordance equilibrium. In addition, the authors calculate the ratio between the quantification interval and the speed of convergence and also provide estimates of the convergence rate. Finally, the simulation results are given to verify the theoretical analysis. Other keywords: logarithmic quantifiers; the framework of Edge`s agreements; laplacian edge opposite; quantified measures; quantification interval; unique quantifiers; Sub-paragraph of the clamping shaft; second-order multi-agent nonlinear systems; the problem of marginal agreement; The dynamics of margin over-compliance. arXivLabs is a framework that allows employees to develop and share new arXiv features directly on our site.

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