讨论了不可分动态系统的最优控制问题 .提出了一种两级最优控制算法 .该算法首先把不可分问题转化为多目标最优控制问题 ,并用加权 Lagrangian公式产生非劣解 ,然后从非劣解集中挑出最优解 .建立了算法的理论基础 ,证明了算法的收敛性 .对两个例子的仿真结果表明算法是有效的 .

The optimal control problem on nonseparable dynamic discrete systems is Considered. A two-level optimal control algorithm is proposed. It first converts the problem into multiple objective optimal control problem and the noninferior solution is generated by weighting Lagrangian formulation. The optimal solution to problem underconsidered is then selected from the set of noninferior solutions. Theoretical base of the algorithm is established. Simulation results for two examples show that the algorithm is eff...