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On the exactness of a stability test for Lur'e systems with slope-restricted nonlinearities
In this note it is shown that the famous multiplier absolute stability test
of R. O'Shea, G. Zames and P. Falb is necessary and sufficient if the set of
Lur'e interconnections is lifted to a Kronecker structure and an explicit
method to construct the destabilizing static nonlinearity is presented