Automatica, Vol.49, No.2, 561-567, 2013
When retarded nonlinear time-delay systems admit an input-output representation of neutral type
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. (C) 2012 Elsevier Ltd. All rights reserved.
Keywords:Nonlinear time-delay systems;Neutral systems;Retarded systems;Input-output representation;Algebraic approach