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In this paper, we propose a fairly general model for hierarchical multi-agent dynamical systems (HMADSs) with fractal structure and investigate their stability or convergence condition for consensus. We first generalize a model introduced by Smith et al. to represent the weak cross-layer interconnection properly and explain the significance of focusing on the low-rank property instead of sparseness...
This paper deals with a hierarchical consensus problem in large scale systems. We first define the hierarchical consensus and propose a fairly general model of the system. We then define the interconnection matrix which expresses interconnection property between layers, where we focus on the rank of this matrix. In order to examine the relationship between the rank of interconnection matrix and stability...
This paper is concerned with the stability degree of a class of hierarchical multi-agent systems based on a fairly general model which expresses an integrated hierarchical systems by focusing on the rank of interconnection matrix. We first define the expression of the interconnection matrix and explain the significance of its low-rank property instead of sparseness or small gain property to represent...
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