Article | REF: S7130 V2

Linear system representations - Extension to uncertain systems

Author: Jean-Marc BIANNIC

Publication date: January 10, 2019

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1. Different types of representation

1.1 Classical representations

Generally speaking, when a physical process is studied, it can be characterized by input-output relationships of two well-known types:

  • the differential equation :

    which links the input u and its time derivatives to the output y and its derivatives ;

  • the transfer function, when the system is linear, linking the Laplace transform U(p) of the input to the Laplace transform Y(p) of the output:

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Different types of representation