Fractal Stable Effect of the External Disturbance on the Generalized Diffusion Limited Aggregation by Backstepping Control Method

Li Zhang
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Abstract

It is well known that external disturbance has complexity effect on algorithms for data analysis in different fields. From the point of view of control theory, a model about fractal growth and inner reaction-diffusion system is presented and the fractal stable effect is deduced and simulated by backstepping control method and a generalized diffusion limited aggregation algorithm.
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外扰动对广义扩散有限聚集的分形稳定效应
众所周知,外界干扰对不同领域的数据分析算法具有复杂性影响。从控制理论的角度出发,建立了分形生长和内反应扩散系统的模型,推导了分形稳定效应,并采用步进控制方法和广义扩散有限聚集算法进行了模拟。
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