【作者】 郭磊；

【Author】 GUO Lei Department of Mathematics and Statistics,Shandong Institute of Economics,Ji’nan 250014,China.

【机构】 山东经济学院 统计与数学学院；

【摘要】 在统一混合系统模型下,提出了确定性跳变系统的最优控制问题,当系统的控制受约束以及光滑性条件减弱时,用连续系统的方法研究了其最优控制问题,证明了确定性跳变系统在整个演化时间上满足最大值原理,在跳变点上满足相应的跳变条件．更多还原

【Abstract】 Under the unified model of hybrid control systems,the optimal control problem of deterministic jumping transition systems is presented.When the control is restricted and assumptions are weakened,by utilizing the continuous systems’ methods,the optimal control problem of deterministic jumping transition systems is studied. The maximum principle is proved on the whole time space and the jumping conditions are obtained at jumping times.更多还原