I/O equations for nonlinear systems and observation spaces. Sontag, E. & Wang, Y. In Proc. IEEE Conf. Decision and Control, Brighton, UK, Dec. 1991, IEEE Publications, 1991, pages 720–725, 1991.
abstract   bibtex   
This paper studies various types of input/output representations for nonlinear continuous time systems. The algebraic and analytic i/o equations studied in previous papers by the authors are generalized to integral and integro-differential equations, and an abstract notion is also considered. New results are given on generic observability, and these results are then applied to give conditions under which that the minimal order of an equation equals the minimal possible dimension of a realization, just as with linear systems but in contrast to the discrete time nonlinear theory.
@INPROCEEDINGS{91cdc-wang,
   AUTHOR       = {E.D. Sontag and Y. Wang},
   BOOKTITLE    = {Proc. IEEE Conf. Decision and Control, Brighton, UK, Dec. 1991, IEEE Publications, 1991},
   TITLE        = {I/O equations for nonlinear systems and observation 
      spaces},
   YEAR         = {1991},
   OPTADDRESS   = {},
   OPTCROSSREF  = {},
   OPTEDITOR    = {},
   OPTMONTH     = {},
   OPTNOTE      = {},
   OPTNUMBER    = {},
   OPTORGANIZATION = {},
   PAGES        = {720--725},
   OPTPUBLISHER = {},
   OPTSERIES    = {},
   OPTVOLUME    = {},
   KEYWORDS     = {identifiability, observability, realization theory},
   PDF          = {../../FTPDIR/91cdc-ywang.pdf},
   ABSTRACT     = {This paper studies various types of input/output 
      representations for nonlinear continuous time systems. The algebraic 
      and analytic i/o equations studied in previous papers by the authors 
      are generalized to integral and integro-differential equations, and 
      an abstract notion is also considered. New results are given on 
      generic observability, and these results are then applied to give 
      conditions under which that the minimal order of an equation equals 
      the minimal possible dimension of a realization, just as with linear 
      systems but in contrast to the discrete time nonlinear theory. }
}

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