Can I read Stabilization for uncertain stochastic T–S fuzzy system driven by Lévy noise on EtoBox?

Stabilization for uncertain stochastic T–S fuzzy system driven by Lévy noise by Dezhi Liu; Min Zhu; Jia Liu is a Mathematics article available to read on EtoBox.

What is Stabilization for uncertain stochastic T–S fuzzy system driven by Lévy noise about?

## Abstract Different from the other work, the almost sure asymptotic stability of an uncertain stochastic T–S fuzzy system driven by Lévy noise has been investigated. However, the Lévy noise caused the càdlàg paths in the system, and the uncertainty was the linear fractional form, which made difference to the general norm-bounded type. Using the special stochastic techniques and new matrix decomposition method, we deal with the càdlàg paths and uncertainty of the system. As the main results, the sufficient conditions of almost sure asymptotic stability for stochastic T–S fuzzy system driven by Lévy noise have been presented. On this basis, the closed-loop system is robustly almost surely asymptotically stable with fuzzy state-feedback controller. Furthermore, our stabilization criteria are based on linear matrix inequalities (LMIs), whence the feedback controller could be designed more easily in practice.

Who reads Stabilization for uncertain stochastic T–S fuzzy system driven by Lévy noise?

Author

Dezhi Liu; Min Zhu; Jia Liu

Publisher

Springer Science and Business Media LLC

Published

2021

Language

EN

Field

Mathematics (Physical Sciences)