| The chaos refers to stochastic behavior appearing in the definite nonlinear system, as a result of its oneself to the initial values sensitivity and the trend of development unpredictability, the chaos control becomes the chaos application to have the challenging research topic, and seeps gradually to each domain in, including economical system.In this paper, we introduce the background of economical chaos, the present situation and the significance, review several typical chaos control method: 1 OGY method, 2 continuous feedback controls, 3 periodic perturbation to restrain the chaos. In view of a kind of chaos financial system, we supplement the stable analysis of equilibrium points, and design three classes of controls: 1 nonlinear control by cascade-system asymptotic stability, impulse control and linear control by the small-gain theorem ; Afterwards through the comparison, we discover the first class of control is non-linear, and unfeasible ; the second class of control is advantageous for the operation, but controls the system too to be big; the class 3 designed by the small gain theorem has both merit : it causes system global asymptotic stable to any equilibrium point, moreover is the linear control, simple and feasible. Compared to the traditional design, it is one kind of good control choice. Finally we point out the insufficiency of this paper and make a prospect.Through above control design, the government can adopt the suitable economic policy to avoid the harm brought by economical chaos. In addition, reflected from the side the method of control designed by the small gain theorem is one novel effective control method, which is worth generalizing.
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