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本文考虑线性组合系统的分散状态反馈Ｈ∞控制问题．以Ｒｉｃｃａｔｉ－ｌｉｋｅ方程半正定解的术语给出了一个使得给定的组合系统稳定并且对于扰抑制保证一个Ｈ∞界限制的分散状态反馈控制设计．对具有对称循环结构的组合系统，得到一个简单的分散控制设计程序．作为一个应用，对一族线性系统的同时Ｈ∞控制问题的可解性导出了一个充分条件．
In this paper, we consider the decentralized state feedback H∞ control problem of linear combinational systems. The term of semidefinite positive solution to the Riccati-like equation gives a decentralized state feedback control design that stabilizes a given combinatorial system and guarantees a bounded limit of H∞ for disturbances. For a composite system with a symmetrical cyclic structure, a simple decentralized control design procedure is obtained. As an application, a sufficient condition is derived for the solvability of the simultaneous H∞ control problem for a family of linear systems.