运用保成本控制方法,研究了动态金融资产配置问题。考虑交易成本,建立了具有资产价格和利率不确定性的动态资产配置模型,分析了资产配置的保成本运作,应用保成本控制方法和线性矩阵不等式(LMI)算法,给出了所期望的状态反馈控制律的存在条件及解析表达式。最后,根据国内情况,对由三种风险资产股票、债券、银行定期存款和一种无风险资产现金组成的投资基金进行了仿真计算。结果表明,保成本控制策略能有效抑制资产配置动态系统中的不确定性扰动。
The guaranteed cost control method is applied and problem of dynamic asset allocation is studied in this paper. Dynamic asset allocation model with uncertainty of prices and transaction costs is developed. The operation of guaranteed cost control is analyzed. The exist condition of anticipant state feedback control and analytic expression and linear matrix inequality (LMI) arithmetic based on guaranteed cost control are proposed. A simulation is done to validate the result at last.