A new approach on the stability of fractional singular systems with time-varying delay

Abstract

In this research article, we discussed the asymptotic stability of fractional singular systems with Riemann–Liouville (RL) derivative and constructed some sufficient conditions. The proposed stability criteria are based upon the linear matrix inequalities (LMIs) approach, which can be easily checked using meaningful Lyapunov-Krasovskii functionals. Finally, we presented two simple numerical examples with their simulations to demonstrate the effectiveness and benefits of the proposed method. The theoretical results obtained in this research contribute to existing ones in the literature.

Keywords

• fractional singular system
• rl derivate
• lmi
• lyapunov-krasovskii functional
• asymptotic stability