
This paper presents two versions of a global theory where stability is captured by induced norms or by gain functions. The first is a summation operator for the characterization of stability and the second tool is the use of the distance from the identity of this mapping as a measure of distance between systems. Nine examples illustrating the possibility of stable feedback loops to tolerate uncertainties which are sufficiently small are provided.
input-output map of nonlinear feedback systems, Nonlinear systems in control theory, robustness, stability, Robust stability, Input-output approaches in control theory
input-output map of nonlinear feedback systems, Nonlinear systems in control theory, robustness, stability, Robust stability, Input-output approaches in control theory
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