PENGGUNAAN METODE LYAPUNOV UNTUK MENGUJI KESTABILAN SISTEM LINIER

Authors

  • Oktavia Love Lina

DOI:

https://doi.org/10.25077/jmu.3.2.29-33.2014

Abstract

Pada paper ini dikaji tentang penggunaan metode Lyapunov dalam menguji
kestabilan sistem linier. Metode Lyapunov menggunakan suatu fungsi diferensiabel dan
kontinu V : R n → R yang dapat dinyatakan sebagai fungsi jarak diperumum dari titik
tetap x 0 = 0. Sifat kestabilan disimpulkan dari sifat V(x) dan turunan V(x) terhadap
waktu. Pengkajian diutamakan pada matriks A yang non singular, yakni det( A) 6= 0.

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Published

01-06-2016

Issue

Vol. 3 No. 2 (2014)

Section

Articles

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