State feedback control for fractional differential equation system in the space of linearly correlated fuzzy numbers
Yükleniyor...
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we will introduce Caputo fractional LC derivative defined in the linear correlated fuzzy-valued number space RF (A) and some of its applications, specifically the feedback control problem in the space RF (A) in the sense of Caputo fractional LC derivative. Firstly, we give definition of the Riemann-Liouville-LC integral and the Caputo fractional LC derivative of a function that takes value in RF (A). Besides, some Caputo factional LC derivative properties of the sum and difference of two functions have also been proved. Moreover, the problem of dynamic systems in space RF (A) is given in both cases where A is a symmetric or non-symmetric fuzzy number. Along with that, the stability theorems of the equilibrium point are also taken into consideration. Finally, we are interested in building a state feedback control function for the fractional differential equation system in space RF (A) to ensure the equilibrium point of the system is asymptotically stable
Açıklama
Anahtar Kelimeler
Linearly Correlated Fuzzy Numbers, LC Derivative, Caputo Fractional Derivatives, Asymptotically Stability, State Feedback Controller
Kaynak
Fuzzy Sets and Systems
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
Sayı
Künye
Son, N. T. K., Thao, H. T. P., Allahviranloo, T., & Long, H. V. (2022). State feedback control for fractional differential equation system in the space of linearly correlated fuzzy numbers. Fuzzy Sets and Systems, doi:10.1016/j.fss.2022.06.022
