Krasil’nikov, I. B.; Sadykov, F. R. Frequency-domain analysis of input-output stability of nonlinear multidimensional systems. (English. Russian original) Zbl 0699.93084 Autom. Remote Control 49, No. 12, 1575-1583 (1988); translation from Avtom. Telemekh. 1988, No. 12, 51-62 (1988). Summary: We derive frequency-domain sufficient conditions of input-output stability for nonlinear multidimensional systems described by a matrix transfer function in the forward circuit and a diagonal nonlinear feedback operator. Two variants of graphic interpretation of these conditions are proposed, differing by accuracy and computational costs. This provides a uniform framework for the representation of various graphic criteria of input-output stability. MSC: 93D25 Input-output approaches in control theory 93C10 Nonlinear systems in control theory 93C35 Multivariable systems, multidimensional control systems Keywords:frequency-domain sufficient conditions; input-output stability; nonlinear multidimensional systems; diagonal nonlinear feedback operator PDFBibTeX XMLCite \textit{I. B. Krasil'nikov} and \textit{F. R. Sadykov}, Autom. Remote Control 49, No. 12, 1575--1583 (1988; Zbl 0699.93084); translation from Avtom. Telemekh. 1988, No. 12, 51--62 (1988)