Sundari, Reni (2017) Konstruksi Fungsi Lyapunov Untuk Menentukan Kestabilan Pada Sistem Lorenz. Undergraduate thesis, Institut Teknologi Sepuluh Nopember.
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Abstract
Fungsi Lyapunov adalah salah satu fungsi yang dikonstruksi untuk memeriksa kestabilan global dari suatu sistem non linier. Pada penelitian ini digunakan metode Variabel Gradien, Kravoskii dan Energi Casimir dalam mengkonstruksi fungsi Lyapunov. Berdasarkan hasil perhitungan dn simulasi yang dilakukan menggunakan metode variabel gradien dan metode Energi Casimir diperoleh fungsi Lyapunov untuk sistem Lorenz pada semua titik kesetimbangan.Sedangkan metode Kravoskii belum menghasilkan fungsi Lyapuno untuk sistem Lorenz pada semua titik kesetimbangan.
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Lyapunov function is a function that is constructed to
examine the global stability of a system of non linear. Research
on Variable Gradient method is used, Kravoskii and energy
Casimir in constructing Lyapunov function. Based on the
results of the calculations are performed using simulated dn
method of variable gradient method and Casimir Energy
retrieved Lyapunov function for a system of Lorenz on all
point of equilibrium. While the Kravoskii method is not yet
generating function Lyapunov for all points on the Lorenz
system equilibrium.
| Item Type: | Thesis (Undergraduate) |
|---|---|
| Additional Information: | RSMa 629.831 2 Sun k-1 |
| Uncontrolled Keywords: | Lyapunov Function,Variabel Gradien method,Krasovkii Method, Energy-Casimir Method, Lorenz System |
| Subjects: | Q Science Q Science > QA Mathematics |
| Divisions: | Faculty of Mathematics and Science > Mathematics > 44201-(S1) Undergraduate Thesis |
| Depositing User: | - RENI SUNDARI |
| Date Deposited: | 26 Jan 2017 06:25 |
| Last Modified: | 05 Mar 2019 06:19 |
| URI: | http://repository.its.ac.id/id/eprint/3537 |
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