一类多变量线性系统的极小能控制的样条函数解法

A Spline Method for Computing a Class of Minimum-Energy Control for Multivariable Linear Systems

考察由一类微分算子阵描述的多变量线性系统的极小能最优控制问题 .建立了这类极小能最优控制与向量值Lg样条函数的对应关系 ,给出了求解最优解的简洁的递推公式 。

The problem of minimum_energy optimal control for multivariable linear systems determined by a class of differential operator matrixes is investigated. The correspondence relation between the minimum_energy optimal control and vector_valued Lg_splines is established. The simple recursive formulas for the optimal solutions are obtained. Else, we give an example.