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

Milena Anguelova (Institutionen för matematiska vetenskaper, matematik) ; Miroslav Halas
9th IFAC Workshop on Time Delay Systems, TDS 2010, Prague, 7 - 9 June 2010 (14746670). Vol. 9 (2010), PART 1, p. 200-205.
[Konferensbidrag, refereegranskat]

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.

Nyckelord: Algebraic approach, Input-output representation, Neutral systems, Nonlinear time-delay systems, Retarded systems

Proc. of 9th IFAC Workshop on Time Delay Systems

Denna post skapades 2011-01-14. Senast ändrad 2013-01-09.
CPL Pubid: 133875


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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)


Tillämpad matematik

Chalmers infrastruktur