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Feedback stability of certain non-linear systems. (English) Zbl 0578.93053

It is proved that if a linear system has a non-negative convex impulse response then its feedback connection with any nonlinearity whose characteristic lies in finite sectors of the first and third quadrant is stable.
Reviewer: L.Faibusovich

MSC:

93D25 Input-output approaches in control theory
93C10 Nonlinear systems in control theory
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
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References:

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