Konstruksi Fungsi Lyapunov untuk Menentukan Kestabilan

Reni Sundari, Erna Apriliani
Submission Date: 2017-01-30 12:20:37
Accepted Date: 2017-03-17 10:28:10

Abstract


Fungsi Lyapunov adalah salah satu fungsi yang dikonstruksi untuk memeriksa kestabilan global dari suatu sistem nonlinier. Pada penelitian ini digunakan metode Variabel Gradien, Kravoskii dan Energi Casimir dalam mengkonstruksi fungsi Lyapunov. Berdasarkan hasil perhitungan dan 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.

Keywords


Fungsi Lyapunov; Variabel Gradien; Krasovkii; Energi-Casimir; Sistem Lorenz

References


Riyanto, Andi (2015).”Analisis Kestabilan Sistem Suspensi Mobil Seperempat Kendaraan Dengan Metode Lyapunov Langsung”. Skripsi S1, Universitas Islam Negeri Sunan Kalijaga Yogyakarta.

Khalil, H. (2002).”Nonlinear System Third Edition”. New Jersey: Pearson Prentice Hall


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