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 = {},
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OPTEDITOR = {},
OPTMONTH = {},
OPTNOTE = {},
OPTNUMBER = {},
OPTORGANIZATION = {},
PAGES = {720--725},
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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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