Robust Input-to-State Stability and Small Gain Theorem for Nonlinear Systems Containing Time-Varying Uncertainty

摘要

In this paper, we have given a simplified version of the small gain theorem for a general inter-connection of two RIOS and RUO subsystems. The result generalized our previous result in [1]. This result has closed the gap between the small gain theorem for time-varying systems and the small gain theorem for time-invariant systems. It is also noted that the simplified small gain theorem can find applications in some global robust stabilization and global robust output regulation problems.