I/O equations for nonlinear systems and observation spaces

The authors study various types of input/output representations for nonlinear continuous-time systems. The algebraic and analytic I/O equations studied in previous work by the authors are generalized to integral and integro-differential equations, and an abstract notion is also considered. New resul...

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Bibliographic Details
Published inIEEE Decision and Control, 1991 pp. 720 - 725 vol.1
Main Authors Sontag, E.D., Wang, Y.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1991
Subjects
Continuous time systems
Differential equations
Integral equations
Linear systems
Marine vehicles
Mathematics
Noise measurement
Nonlinear equations
Nonlinear systems
Observability
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ISBN0780304500
9780780304505
DOI10.1109/CDC.1991.261406

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Summary:The authors study various types of input/output representations for nonlinear continuous-time systems. The algebraic and analytic I/O equations studied in previous work 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 the minimal order of an equation equals the minimal possible dimension of a realization, just as with linear systems but in contrast to discrete-time nonlinear theory.< >
ISBN:0780304500
9780780304505
DOI:10.1109/CDC.1991.261406