Synchronization criteria for T-S fuzzy singular complex dynamical networks with Markovian jumping parameters and mixed time-varying delays using pinning control

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SYED ALI M.; Usha M.; Alhodaly M.S.

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Journal: Iranian Journal of Fuzzy Systems Year:2020 | Volume:17 | Issue:5 Page(s): 53-68

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Information Journal Paper

Title

Synchronization criteria for T-S fuzzy singular complex dynamical networks with Markovian jumping parameters and mixed time-varying delays using pinning control

Author(s)

SYED ALI M. | Usha M. | Alhodaly M.S. | Issue Writer Certificate

Keywords

Singular complex networksQ2

additive time-varying delayQ2

T-S fuzzy theoryQ2

Markovian jumpQ2

pinning controlQ2

LMIsQ2

Abstract

In this paper, we are discuss about the issue of synchronization for singular complex dynamical networks with Markovian jumping parameters and additive time-varying delays through pinning control by Takagi-Sugeno (T-S) fuzzy theory. The complex dynamical systems consist of m nodes and the systems switch from one mode to another, a Markovian chain with glorious transition probability. Based on the control strategies are designed, the singular complex dynamical networks are synchronized. A new class of Lyapunov-Krasovskii functional, which contains integral terms is constructed to derive the stability criteria. Some sufficient conditions for synchronization in the form of linear matrix inequality (LMI) approach. Finally, numerical example is presented to support the main results of this paper.

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APA: Copy

SYED ALI, M., Usha, M., & Alhodaly, M.S.. (2020). Synchronization criteria for T-S fuzzy singular complex dynamical networks with Markovian jumping parameters and mixed time-varying delays using pinning control. IRANIAN JOURNAL OF FUZZY SYSTEMS, 17(5 ), 53-68. SID. https://sid.ir/paper/371145/en

Vancouver: Copy

SYED ALI M., Usha M., Alhodaly M.S.. Synchronization criteria for T-S fuzzy singular complex dynamical networks with Markovian jumping parameters and mixed time-varying delays using pinning control. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2020;17(5 ):53-68. Available from: https://sid.ir/paper/371145/en

IEEE: Copy

M. SYED ALI, M. Usha, and M.S. Alhodaly, “Synchronization criteria for T-S fuzzy singular complex dynamical networks with Markovian jumping parameters and mixed time-varying delays using pinning control,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 17, no. 5 , pp. 53–68, 2020, [Online]. Available: https://sid.ir/paper/371145/en

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