OPTIMAL CONTROL PROBLEMS WITH HYBRID QUADRATIC CRITERIA

In this paper, the auther investigates optimal control problems of continuotis time linear system with hybrid quadratic criteria such as $[J(u) = sumlimits_{i = 1}^N {leftlangle {{Q_i}x({t_i}),x({t_i})} rightrangle } + int_0^t {leftlangle {Ru(t),u(t)} rightrangle } dt]$. 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 fordetermination of feedback operators.