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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
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