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

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MANAS Journal of Engineering
Volume:8 Issue:1
A new approach on the stability of fractional singular systems with time-varying delay

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

Authors : Yener ALTUN

Pages : 59-67

View : 19 | Download : 11

Publication Date : 2020-06-30

Article Type : Research Paper

Abstract :In this research article, we discussed the asymptotic stability of fractional singular systems with Riemann–Liouville insert ignore into journalissuearticles values(RL); derivative and constructed some sufficient conditions. The proposed stability criteria are based upon the linear matrix inequalities insert ignore into journalissuearticles values(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

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