When classical nonlinear time-delay state-space systems admit an input-output equation of neutral type

Anguelova, Milena,1978Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg (författare)

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.

Halas, Miroslav (författare)
Göteborgs universitetInstitutionen för matematiska vetenskaper, matematik (creator_code:org_t)

Ingår i:9th IFAC Workshop on Time Delay Systems, TDS 2010, Prague, 7 - 9 June 20109:PART 1, s. 200-2051474-66709783902661715

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