A set of necessary and sufficient conditions under which a general discrete time H/sub 2/-optimal control problem has a unique solution is derived. It is shown that the solution for a discrete time H/sub 2/-optimal control problem, if it exists, is unique if and only if: (i) the transfer function from the control input to the controlled output is left invertible, and (ii) the transfer function from the disturbance to the measurement output is right invertible.
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机译：一组必要和充分的条件，其中一般离散时间h / sub 2 / -optimal控制问题具有唯一的解决方案。结果表明，对于离散时间h / sub 2 / -optimal控件问题的解决方案，如果存在，则唯一的if且仅当：（i）从控制输入到受控输出的传输功能留下可逆性，并且（ii）从扰动到测量输出的转移功能是正确的可逆性。
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