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Generalized Popov theory applied to state-delayed systems. (English) Zbl 0965.93083
The article contains dubious statements, like the one following Theorem 3.1 “\(\dots\) the state \(x(t-\tau)\) may be interpreted as a fictitious input \(f(t)\) \(\dots\)”. In the sentence following equation (17) the claim “\(\dots\) the proposed technique may also be applied to systems with time-varying delays\(\dots\)” needs to be substantiated by restrictive conditions. Nonautonomous ordinal differential equations are rarely equivalent to autonomous ones (of the same order).

MSC:
93D10 Popov-type stability of feedback systems
93C23 Control/observation systems governed by functional-differential equations
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