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Scaling supply rates of ISS systems for stability of feedback interconnected nonlinear systems

This paper focuses on global stability analysis problems for interconnected nonlinear systems. The main purpose is to introduce a useful parameterization into supply rates of dissipative nonlinear systems for establishing global stability via the input-to-state stable(ISS) small-gain condition. Supply rates which are parameterized by state-dependent scaling provide us with convenient flexibility to determine a proper function that matches a system and leads us to desired stability. Stability criteria proposed in this paper are more advantageous to uncertain systems analysis and design than the primary versions of state-dependent scaling criteria presented in previous papers.