ANALISIS KESTABILAN SISTEM DINAMIK LINEAR TIME INVARIANT (LTI)

MAULIDA AGUSTIN, NIM. 14610008 (2018) ANALISIS KESTABILAN SISTEM DINAMIK LINEAR TIME INVARIANT (LTI). Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.

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Abstract

Stability is one frequent issue in applied mathematics. As an example, the prediction of instability of the mathematical model in many cases leads to statement that the model adequately represents the unappropriate physical process. The unstability of a system gives unfavorable impact to the system itself. The stability of dynamic system Linear Time Invariant (LTI) can be analyzed by several methods. The first method is the eigenvalue method, where this method uses eigenvalue to determine whether or not the system is stable. The second method is called The Routh-Hurwitz. This method can be divided into 2 kinds of testing, those are Routh test (show the existence of roots which are unstable as well as its total, but it does not determine the value nor possibilities to avoid the instability) and Hurwitz test (checking whether the root characteristic equations have certain negative part. It will be determined by the use of determinant). The third method is Lyapunov metodh. This method uses differential and continuous function which can be considered as a fixed range function from a fixed point. The fourth method is linearization metodh, The fourth method is linearization method. In this method, stability analysis can be looking at the eigenvalues of linearitation function of system.The last method is the stability of input / output, which refers to BIBO system. To describe the theory of stability, the researcher uses longitudinal motion equation system of aircraft BWB AC 20.30.

Item Type: Thesis (Skripsi)
Additional Information: Dr. Muhammad Wakhid Musthafa, M.Si.
Uncontrolled Keywords: Stability System, LTI
Subjects: Matematika
Divisions: Fakultas Sains dan Teknologi > Matematika (S1)
Depositing User: H. Zaenal Arifin, S.Sos.I., S.IPI.
Date Deposited: 28 Dec 2018 14:11
Last Modified: 28 Dec 2018 14:11
URI: http://digilib.uin-suka.ac.id/id/eprint/32145

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