KETERCAPAIAN SISTEM FRAKSIONAL LINIER KONTINU DENGAN INPUT KONSTAN

Authors

  • FAUZANA LAILATURRAHMI
  • HAZMIRA YOZZA

DOI:

https://doi.org/10.25077/jmu.9.3.231-239.2020

Abstract

Dalam artikel ini dikaji kriteria ketercapaian sistem fraksional linier kontinu dengan input konstan berikut: Dαx(t) = Ax(t) + Bu(t), 0 < α ≤ 1, dimana Dα menyatakan operator turunan fraksional, x(t) ∈ Rn menyatakan vektor keadaan, u(t) ∈ Rm menyatakan vektor input, A ∈ Rn×n, B ∈ Rn×m dan t menyatakan waktu. Kriteria ketercapaian tersebut diperoleh dengan menggunakan kaidah aljabar linier. Beberapa contoh disajikan untuk mengilustrasikan kriteria ketercapaian tersebut.

Kata Kunci: Sistem fraksional linier, ketercapaian, turunan Caputo

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Published

01-07-2020

Issue

Vol. 9 No. 3 (2020)

Section

Articles

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