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本文使用逆ＬＱ方法研究了同时镇定问题，首先得到ｒ 个正则ＭＩＭＯ 对象可静态输出反馈同时镇定的充要条件，然后给出了状态反馈同时镇定的一种解．这些条件均以一组耦合Ｒｉｃｃａｔｉ 方程和Ｒｉｃｃａｔｉ 不等式的形式给出．本文证明，任一同时镇定反馈增益均可描述为一组具有合适交叉项的耦合ＬＱ控制问题的解
In this paper, the inverse LQ method is used to study the problem of simultaneous stabilization. First, a sufficient and necessary condition for the static output feedback of the r regular MIMO objects to be stable simultaneously is obtained. Then a solution of simultaneous state feedback stabilization is given. These conditions are given in the form of a set of coupled Riccati equations and Riccati inequalities. This paper proves that any simultaneous stabilization feedback gain can be described as a set of solutions to coupled LQ control problems with suitable cross terms