本研究對分析飛航穩定性，提出以線性代數中的係數矩陣與特徵值，配合疊代映射與相平面分析，做為可能的研究工具之探討。本研究透過由FOQA所取得的數據中，以前後瞬間的高度、速度、沉降率以及引擎轉速等四項參數，建構描述飛航過程中的情境如何變化的係數矩陣A，探討該如何使用矩陣之特徵值，描述航班與平均值比較所得的發散、收斂狀況，定義出指標做為飛航穩定性評估的量化分析。
本研究並且記錄所有航班，在進場階段到100呎高度時，每一秒間隔的A矩陣，藉由給予一個單位偏離，繪製出經由A矩陣疊代作用下，此偏移量在由高度、沉降率、速度及引擎轉速建構出的二維相平面空間的變化軌跡，或可做為未來的研究方向。

In this study, we combine the method of coefficient matrix and eigenvalue from linear algebra with iterative mapping and phase plane analysis as a possible research instruments to quantify the stability of flight operation. By using the data obtained from Flight Operation Quality Assurance System, we choose four parameters including height, speed, vertical speed and rotational speed of engine to construct coefficient matrix A and define an indicator to assess the stability of flight operation.
Comparing the average of the indicator between normal flights and event flights distinguished by FOQA system, it is possible to revel the difference of stability between normal flight and event flights.
In the future work, the preliminary result of this study should combine with Flight Safety Margin theory to validate the effectiveness of the result.

Keywords: Stability of flight operation, FOQA system, Coefficient matrix, Eigenvalue

[1] AIRLINES FINANCIAL MONITOR,IATA , 2013
[2] Federal Aviation Administration, “Introduction to Safety Management
Systems for Air Operators”, Advisory Circular AC No：120-92,
2006.
[3] Heinrich, H.W., Industrial Accident Prevention, 1931.
[4] Reason, J., Human Errors, New York : Cambridge University Press,
1990.
[5] Perrow, C., “Normal Accidents: Living with High Risk
Technologies”, NJ : Princeton University Press, 1984.
[6]景鴻鑫，本土化之飛安理念，飛航安全討論與提升研討會，國立
成功大學，中華民國八十七年。
[7]盛嘉昇，“飛航安全之幾何觀點─飛航安全裕度”，國立成功大
學航空太空程學系研究所碩士論文，中華民國九十五年六月。
[8]鐘華興，”飛航安全之工程分析-線性系統觀點”，國立成功大學民
航研究所，中華民國九十七年。
[9]陳品妤，”民航操作品質數據之安全性分析”， 國立成功大學民
航研究所，中華民國九十九年。