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

Yener Altun

EN

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

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Yener Altun ^*
0000-0003-1073-5513
Türkiye

Publication Date

June 30, 2020

Submission Date

May 13, 2020

Acceptance Date

June 3, 2020

Published in Issue

Year 2020 Volume: 8 Number: 1

IZ

https://izlik.org/JA86FK74CP

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. https://izlik.org/JA86FK74CP

AMA

1.Altun Y. A new approach on the stability of fractional singular systems with time-varying delay. MJEN. 2020;8(1):59-67. https://izlik.org/JA86FK74CP

Chicago

Altun, Yener. 2020. “A New Approach on the Stability of Fractional Singular Systems With Time-Varying Delay”. MANAS Journal of Engineering 8 (1): 59-67. https://izlik.org/JA86FK74CP.

EndNote

Altun Y (June 1, 2020) A new approach on the stability of fractional singular systems with time-varying delay. MANAS Journal of Engineering 8 1 59–67.

IEEE

[1]Y. Altun, “A new approach on the stability of fractional singular systems with time-varying delay”, MJEN, vol. 8, no. 1, pp. 59–67, June 2020, [Online]. Available: https://izlik.org/JA86FK74CP

ISNAD

Altun, Yener. “A New Approach on the Stability of Fractional Singular Systems With Time-Varying Delay”. MANAS Journal of Engineering 8/1 (June 1, 2020): 59-67. https://izlik.org/JA86FK74CP.

JAMA

1.Altun Y. A new approach on the stability of fractional singular systems with time-varying delay. MJEN. 2020;8:59–67.

MLA

Altun, Yener. “A New Approach on the Stability of Fractional Singular Systems With Time-Varying Delay”. MANAS Journal of Engineering, vol. 8, no. 1, June 2020, pp. 59-67, https://izlik.org/JA86FK74CP.

Vancouver

1.Yener Altun. A new approach on the stability of fractional singular systems with time-varying delay. MJEN [Internet]. 2020 Jun. 1;8(1):59-67. Available from: https://izlik.org/JA86FK74CP

Manas Journal of Engineering

16155

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

Abstract

Keywords

Abstract

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

IZ

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