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When retarded nonlinear time-delay systems admit an input-output representation of neutral type. (English) Zbl 1259.93066
Summary: The paper shows that nonlinear retarded time-delay systems can admit an input-output representation of neutral type. This behaviour represents a strictly nonlinear phenomenon, for it cannot happen in the linear time-delay case where retarded systems always admit an input-output representation of retarded type. A necessary and sufficient condition for a nonlinear system to exhibit this behaviour is given, and a strategy for finding an input-output representation of retarded type is outlined. Some open problems that arise consequently are discussed as well. All the systems considered in this work are time-invariant and have commensurable delays.

MSC:
93C15 Control/observation systems governed by ordinary differential equations
93C10 Nonlinear systems in control theory
34K40 Neutral functional-differential equations
93B25 Algebraic methods
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