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Zbl 1123.91325
Sun, Jitao; Qiao, Fei; Wu, Qidi
Impulsive control of a financial model. (English)
[J] Phys. Lett., A 335, No. 4, 282-288 (2005). ISSN 0375-9601

Summary: In this Letter, several new theorems on the stability of impulsive control systems are presented. These theorem are then used to find the conditions under which an advertising strategy can be asymptotically control to the equilibrium point by using impulsive control. Given the parameters of the financial model and the impulsive control law, an estimation of the upper bound of the impulse interval is given, i.e., number of advert can been decreased (i.e., can decrease cost) for to obtain the equivalent advertising effect. The result is illustrated to be efficient through a numerical example.

MSC 2000:: *91B28 Finance etc.
93C99 Control systems, guided systems

Keywords: financial model; impulsive control; equilibrium point; stability; cost

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