Stability Analysis of Nonlinear Positive Singular Systems with Delays

Abstract

This paper is devoted to the stability analysis of positive nonlinear singular systems with time-varying delays via Takagi-Sugeno fuzzy modeling. We introduce an auxiliary system to exploit the positivity criterion for the singular fuzzy time-delay system. Then, a sufficient condition of $\alpha$ -exponential stability for positive fuzzy singular systems is established, which depends on a given scalar $0 < \alpha < 1$ and the bound of time-varying delays. Finally, a numerical simulation is utilized to illustrate the effectiveness of our result.