A new analytic method combining Piapunov's methods and eigenvalue analysis approach, a technique for identifying dominant loop analysis contributed by Nathan B. Forrester, is developed to search for the feasible and most policies in system dynamics models. The paper briefly introduces the Liapunov methods of stability analysis (the first and second methods of Liapunov). Liapunov's first method, under certain conditions, enables one to arrive at conclusions about a nonlinear system (original system) by studying the behavior of linearized systems. Liapunov's second method gives sufficient conditions for the stability of linear systems. Criteria of Liapunov's first method and Krasovskii's method, an extended method of Liapunov's second method, are both applied in the analytic method. The structure of the method and how the method is used are described. It is expected that the analytic method will become a new approach to testing models in order to seek the best feasible policies automatically in system dynamics.

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Date created

• 1984

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• Document

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System Dynamic Society Records

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• This collection is part of the University Archives