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

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 contral systems and nonlinear control systems, respectively. The previously reported results in literature are special cases of ISS of Runge-Kutta methods.