When classical nonlinear time-delay state-space systems admit an input-output equation of neutral type
Paper in proceedings, 2010

This paper deals with nonlinear retarded time-delay systems that surprisingly admit an input-output representation of neutral type. It is shown that such an unexpected 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 under which the nonlinear systems admit a neutral input-output representation is given and strategies for finding an inputoutput representation of retarded type are briefly outlined. Some open problems that arise, like minimality and system transformations, are discussed as well.

Retarded systems

Input-output representation

Nonlinear time-delay systems

Algebraic approach

Neutral systems


Milena Anguelova

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Miroslav Halas

9th IFAC Workshop on Time Delay Systems, TDS 2010, Prague, 7 - 9 June 2010

1474-6670 (ISSN)

Vol. 9 PART 1 200-205

Subject Categories

Computational Mathematics





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