One Kind of Fully Coupled Linear Quadratic Stochastic Control Problem with Random Jumps
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摘要: 研究一类带随机跳跃的完全耦合的线性二次随机控制问题. 得到了最优控制的显式解, 并可以证明最优控制是唯一的. 引入了一类推广的黎卡提方程并讨论了其可解性. 利用这一类推广的黎卡提方程的解, 得到了上述带随机跳跃的最优控制问题的线性状态反馈调节器.Abstract: One kind of fully coupled linear quadratic stochastic control problem with random jumps is studied. The explicit form of the optimal control is obtained. The optimal control can be proved to be unique. One kind of generalized Riccati equation system is introduced and its solvability is discussed. The linear feedback regulator for the optimal control problem with random jumps is given by the solution of the generalized Riccati equation system.
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