Stability analysis for circulant structured multi-agent molecular communication systems

TL;DR

This paper presents a system theoretic approach to analyze the stability of circulant structured multi-agent molecular communication systems by decomposing them into simpler SISO systems.

Contribution

It introduces a novel stability analysis method for circulant structured multi-agent MC systems using transfer functions and system decomposition.

Findings

The method effectively decomposes MIMO systems into SISO systems.

Applied the method to demonstrate stability analysis on a specific MC system.

Provides a systematic approach for stability analysis in large-scale MC systems.

Abstract

In this paper, we introduce the system theoretic model for the multi-agent MC systems represented by multi-input and multi-output (MIMO) systems using the transfer functions, and then propose a method to analyze the stability for the special case of the circulant structured multi-agent MC systems. The proposed method decomposes the MIMO MC system into multiple single-input and single-output (SISO) systems, which facilitates to analyze of the stability of the large-scale multi-agent MC system. Finally, we demonstrate the proposed method to analyze the stability of a specific MC system.