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

#### Yener ALTUN [1]

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.
Fractional singular system, RL derivate, LMI, Lyapunov-Krasovskii functional, asymptotic stability
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Primary Language en Engineering Research Article Orcid: 0000-0003-1073-5513Author: Yener ALTUN (Primary Author)Institution: Van Yüzüncü Yıl Üniversitesi, SBECountry: Turkey Publication Date : June 30, 2020
 Bibtex @research article { mjen736579, journal = {MANAS Journal of Engineering}, issn = {1694-7398}, eissn = {1694-7398}, address = {}, publisher = {Kyrgyz-Turkish Manas University}, year = {2020}, volume = {8}, pages = {59 - 67}, doi = {}, title = {A new approach on the stability of fractional singular systems with time-varying delay}, key = {cite}, author = {Altun, Yener} } APA Altun, Y . (2020). A new approach on the stability of fractional singular systems with time-varying delay. MANAS Journal of Engineering , 8 (1) , 59-67 . Retrieved from https://dergipark.org.tr/en/pub/mjen/issue/55261/736579 MLA Altun, Y . "A new approach on the stability of fractional singular systems with time-varying delay". MANAS Journal of Engineering 8 (2020 ): 59-67 Chicago Altun, Y . "A new approach on the stability of fractional singular systems with time-varying delay". MANAS Journal of Engineering 8 (2020 ): 59-67 RIS TY - JOUR T1 - A new approach on the stability of fractional singular systems with time-varying delay AU - Yener Altun Y1 - 2020 PY - 2020 N1 - DO - T2 - MANAS Journal of Engineering JF - Journal JO - JOR SP - 59 EP - 67 VL - 8 IS - 1 SN - 1694-7398-1694-7398 M3 - UR - Y2 - 2020 ER - EndNote %0 MANAS Journal of Engineering A new approach on the stability of fractional singular systems with time-varying delay %A Yener Altun %T A new approach on the stability of fractional singular systems with time-varying delay %D 2020 %J MANAS Journal of Engineering %P 1694-7398-1694-7398 %V 8 %N 1 %R %U ISNAD Altun, Yener . "A new approach on the stability of fractional singular systems with time-varying delay". MANAS Journal of Engineering 8 / 1 (June 2020): 59-67 . AMA Altun Y . A new approach on the stability of fractional singular systems with time-varying delay. MJEN. 2020; 8(1): 59-67. Vancouver Altun Y . A new approach on the stability of fractional singular systems with time-varying delay. MANAS Journal of Engineering. 2020; 8(1): 67-59.

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