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研究了齐次系统H∞ 控制的输出反馈问题 .首先给出齐次镇定与二次型Lyapunov函数之间的关系 .随后讨论了齐次系统H∞ 控制的输出反馈问题 .在适当条件下 ,给出了全局解 .然后考虑了具有高阶扰动项的齐次系统 ,对此系统也得到了与无扰动项时的相似结论 .
The output feedback problem of homogeneous H∞ control is studied. Firstly, the relation between homogeneous stabilization and quadratic Lyapunov function is given. Then, the output feedback problem of homogeneous H∞ control is discussed. Under appropriate conditions, Then the global solution is considered, and then a homogeneous system with higher-order perturbation terms is considered, and the system is also given a similar conclusion as the perturbed term.