14th IFAC Symposium on System Identification, SYSID 2006

SYSID-2006 Paper Abstract

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Paper ThB2.6

Diop, Sette (CNRS)

A Single Sensor Selection Theorem for Rational State Systems

Scheduled for presentation during the Regular Session "Identifiability and Model Selection" (ThB2), Thursday, March 30, 2006, 17:10−17:30, Banquet Room

14th IFAC Symposium on System Identification, March 29 - 31, 2006, Newcastle, Australia

This information is tentative and subject to change. Compiled on July 22, 2018

Keywords Identifiability, Nonlinear System Identification, Continuous Time System Estimation

Abstract

In this Communication we show that for any dynamics given by a rational state vector equation dx/dt = f(u,x) there always is a scalar linear observation y = a x_1 + a x_2 + ... + a x_n which makes the state x observable provided that the coefficients a_1, a_2, ..., a_n are allowed to be nonconstants. Moreover, any such scalar observation makes the system observable if, and only if, the coefficients are linearly independent over constants in a differential algebraic sense.