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对于外部扰动满足一个动态方程的线性离散系统,通过构造一个不含外部扰动项的李雅普诺夫函数,给出了此类系统有限时间有界的充分条件,与现有结果相比,该充分条件可以降低保守性.在此基础上,分别讨论了此类系统有限时间有界状态反馈控制器以及输出反馈控制器存在的充分条件.这些条件都可以转换为线性矩阵不等式的可行性问题.最后,通过仿真实验验证了本方案的有效性.
For a linear discrete system with external perturbation satisfying a dynamic equation, a sufficient condition for the finite boundedness of the system is given by constructing a Lyapunov function without external perturbation terms. Compared with the existing results, the sufficient condition Which can reduce the conservativeness.On the base of this, the sufficient conditions for the existence of finite state bounded state feedback controllers and output feedback controllers of these systems are respectively discussed, and these conditions can be transformed into the feasibility of linear matrix inequalities.Finally, The simulation results show the effectiveness of this scheme.