In this paper, a linear matrix inequality (LMI) approach without constraints is developed to solve W- and P-problems, which are related to designing static output feedback (SOF) stabilization controls for linear systems. As an application, the SOF stabilization problem of uncertain systems is considered. Some LMI-based sufficient and necessary conditions and design approaches are presented.%利用无约束条件的线性矩阵不等式(LMI)研究了W-问题和P-问题,而后者的解可用来设计静态输出反馈(SOF)镇定控制.作为一个应用考虑了不确定系统的静态输出反馈问题,给出了依赖于LMI条件的SOF设计方法.
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