摘要
控制系统在实际问题中有广泛应用,众多文献对系统本身及其数值方法的稳定性进行了深入研究。将单支方法用于求解非线性控制系统,获得了方法IS稳定的条件,可视为单支方法关于非线性常微分方程的稳定性分析在非线性控制系统的进一步推广。最后给出了一些常用的单支方法IS稳定的条件。
Control systems arise widely in practice. Stability of the systems and the numerical methods were investigated by many authors. One-leg method was adopted for solving nonlinear control systems. The conditions for the methods to be input-to-state stable were derived, which could be regard as extension of the stability analysis of one-leg methods for nonlinear ordinary differential equations. Some numerical methods that satisfied the conditions were given in the end.
出处
《系统仿真学报》
EI
CAS
CSCD
北大核心
2008年第1期19-20,72,共3页
Journal of System Simulation
基金
国家自然科学基金资助项目(10271100
10571147)
湖南省教育厅资助科研项目(07B072)。
关键词
非线性控制系统
单支方法
数值解
IS稳定性
nonlinear control system
one-leg methods
numerical solution
input-to-state stability
