<p>In this paper, an uncertain switching system refers to a continuous-time switching system influenced by subjective uncertainty, which is represented with a series of uncertain differential equations. Although stability issues have been extensively studied for switching systems, there has been limited research on stability analysis of uncertain switching systems. To address this gap, three types of internal stabilities-stability in measure, almost sure stability, stability in mean-about uncertain continuous-time switching systems are investigated in sequence. These stability analyses allow for description and understanding on the inherent property of uncertain switching systems from various perspectives. The corresponding methods to judge above stabilities are derived on the basis of stability theory and uncertainty theory. At last, a microbial symbiosis model is presented to display the validness of theoretical results.</p>

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Internal Stabilities of Uncertain Continuous-Time Switching Systems with Application to Microbial Symbioses

  • Ya-dong Shu,
  • Bo Li

摘要

In this paper, an uncertain switching system refers to a continuous-time switching system influenced by subjective uncertainty, which is represented with a series of uncertain differential equations. Although stability issues have been extensively studied for switching systems, there has been limited research on stability analysis of uncertain switching systems. To address this gap, three types of internal stabilities-stability in measure, almost sure stability, stability in mean-about uncertain continuous-time switching systems are investigated in sequence. These stability analyses allow for description and understanding on the inherent property of uncertain switching systems from various perspectives. The corresponding methods to judge above stabilities are derived on the basis of stability theory and uncertainty theory. At last, a microbial symbiosis model is presented to display the validness of theoretical results.