Delta算子设计的线性离散系统的稳定性研究  

Stability of Linear Delta-Operator Formulated Discrete-Time System

作　　者：孙洪义[1] 李相林[1] 

机构地区：[1]哈尔滨理工大学计算机与控制学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》1999年第6期13-16,20,共5页Journal of Harbin University of Science and Technology

摘　　要：利用连续系统的李亚普诺夫稳定性理论,对Delta算子设计的线性定常离散时间系统的稳定性进行了分析,得出了相应的特征值判据和李亚普诺夫稳定判据。结果表明,当采样周期趋于零时,其稳定条件接近连续系统的稳定条件。The stability of linear delta-operator formulated discrete - time systems is analyzed by using Lyapunov stability theory of continue us-time systems. The eigenvalue criterion and Lyapunov stability criterion are obtained accordingly. These results illustrated that its stability condition is close to that of continuous-time systems if sample period tends to be zero.

关 键 词：DELTA算子 特征值判据 线性离散系统 稳定性 

分 类 号：TP271.8[自动化与计算机技术—检测技术与自动化装置]