Optimal portfolio management by using extremum seeking control

In this paper the extremum seeking is applied to optimal portfolio management problem. [1,2] When we think portfolio management method, we had to estimate parameters which is difficult to estimate such as volatility, expected return and so on so far. For example, Morton and Pliska optimized portfolio by using Kuhn-Tucker condition in [3] (we'll call it the M&P method). But this method needs to estimate many parameters in the market. The proposed method use the extremum seeking to optimize portfolio without estimating market's parameters which is difficult to estimate, so we adapt sudden changes of market's condition.