一类不确定离散系统的有限时间有界性

Finite-time boundedness in a kind of uncertain discrete systems

针对不确定线性离散系统,结合线性矩阵不等式(LMI)方法及李雅普诺夫稳定性理论,首先给出一类离散系统有限时间有界的几个充分条件,然后给出了该类系统具有不确定参数的几个充分条件,最后通过仿真实例验证了这些充分条件的可解性及有效性.

Based on the method of the linear matrix inequality（ LMI） and Lyapunov theory,this paper first gives some sufficient conditions of finite-time boundedness in a kind of discrete systems. It then provides sufficient conditions of finite-time boundedness for those with uncertain parameters. The solvability and effectiveness of the sufficient conditions are finally checked with an example.