Applications Of Lyapunov Approach On Stability Theory Of System

This article is a synthesis on the application of Lyapunov method in system sta-bility. On the stability of automatic control theory is a fundamental issue. Stability isall automatic control system which must meet a performance index. It is the role ofthe system which is disturbed after the campaign under the departure from equilibriumdepend on the structural factors within the system returns to equilibrium, or limited toone of its limited area of a performance.There are mainly three parts in the thesis. The first part briefly deals with thehistory of stability theory and Lyapunov's stability theory. Then this paper focuses onconclusions of Lyapunov method about the stability in specific systems. Finally, thetheory of Lyapunov is simply supplemented and summarized.