Identifiability and excitation of polynomial systems

Michel Gevers; Alexandre S Bazanella; Daniel F Coutinho; Soura Dasgupta

doi:10.1109/CDC.2013.6760547

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Conference proceeding

Identifiability and excitation of polynomial systems

Michel Gevers, Alexandre S Bazanella, Daniel F Coutinho and Soura Dasgupta

52nd IEEE Conference on Decision and Control, pp.4278-4283

12/2013

DOI: 10.1109/CDC.2013.6760547

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Abstract

This paper establishes identifiability and informativity conditions for a class of deterministic linearly parametrized polynomial systems. The class considered is polynomial in the states and in the inputs. The standard definitions of identifiability and informativity for linear systems are expanded to account for the situation where the identification is achieved either through the application of informative inputs or via the response to informative initial conditions. We provide necessary and sufficient conditions for identifiability from the initial state, respectively from the input, as well as necessary and sufficient conditions on the initial state, respectively on the input, to produce an informative experiment.

Data models

Mathematical model

Matrices

Polynomials

Stochastic processes

Vectors

Details

Title: Subtitle: Identifiability and excitation of polynomial systems
Creators: Michel Gevers - UCLouvain
Alexandre S Bazanella - Dept. of Electr. Eng., Univ. Fed. do Rio Grande do Sul, Porto Alegre, Brazil
Daniel F Coutinho - Dept. of Autom. & Syst., Univ. Fed. Santa Catarina, Florianopolis, Brazil
Soura Dasgupta - University of Iowa
Resource Type: Conference proceeding
Publication Details: 52nd IEEE Conference on Decision and Control, pp.4278-4283
Publisher: IEEE
DOI: 10.1109/CDC.2013.6760547
ISSN: 0191-2216
Language: English
Date published: 12/2013
Academic Unit: Electrical and Computer Engineering
Record Identifier: 9984197300902771

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