Input-to-state stability of Runge–Kutta methods for nonlinear control systems

作者：

Highlights：

•

摘要

In the paper we introduce input-to-state stability (ISS) of Runge–Kutta methods for control systems. The ISS properties of Runge–Kutta methods are studied for linear control systems and nonlinear control systems, respectively. The previously reported results in literature are special cases of ISS of Runge–Kutta methods.

论文关键词：93C10,34D20,65L07,Control systems,Runge–Kutta methods,Input-to-state stability,B-input-to-state stability,(k,l) algebraically stable

论文评审过程：Received 14 April 2004, Revised 6 January 2006, Available online 21 July 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2006.05.031