OPTIMAL CONTROL PROBLEMS WITH HYBRID QUADRATIC CRITERIA
Citation:
You Yuncheng.OPTIMAL CONTROL PROBLEMS WITH HYBRID QUADRATIC CRITERIA[J].Chinese Annals of Mathematics B,1987,8(4):452~462
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Authors:
You Yuncheng;
Abstract:
In this paper, the auther investigates optimal control problems of continuotis time linear system with hybrid quadratic criteria such as $\[J(u) = \sum\limits_{i = 1}^N {\left\langle {{Q_i}x({t_i}),x({t_i})} \right\rangle } + \int_0^t {\left\langle {Ru(t),u(t)} \right\rangle } dt\]$. Closed-loop results are obtained in which the optiinal control can be expressed by means of state values measured only at these discrete-time points. Formulae are given for
determination of feedback operators.