摘要
本文对网络控制系统中一类特殊的变时滞系统的稳定性进行详细的研究与分析;推导出当时滞系统相应的无时滞系统具有实值对称Jacobian矩阵时,时滞系统渐近稳定当且仅当其相应的无时滞系统渐近稳定;最后,通过应用举例和实验仿真验证了关于网络控制系统时滞独立稳定性分析的正确性。
A particular class of networked control systems with time-varying delays has been analyzed in this paper. It is derived that the sufficient and necessary stability condition for the delayed system is equivalent to that of corresponding undelayed system as long as the corresponding undelayed system has a symmetric Jacobian matrix. An example and the simulation results are given to confirm the stability analysis.
关键词
非线性控制系统
网络控制系统
变时滞
时滞独立稳定性
nonlinear control system
networked control system
time-varying delay
delay independent stability
