Symbolic computations of non-linear observability

Ezequiel Julian Bianco-Martinez, Murilo Da Silva Baptista, Christophe Letellier

Research output: Contribution to journalArticle

13 Citations (Scopus)
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Abstract

Observability is a very useful concept for determining whether the dynamics of complicated systems can be correctly reconstructed from a single (univariate or multivariate) time series. When
the governing equations of dynamical systems are high-dimensional and/or rational, analytical computations
of observability coefficients produce large polynomial functions with a number of terms that become exponentially large with the dimension and the nature of the system. In order to overcome
this difficulty, we introduced here a new symbolic observability coefficient based on a symbolic computation of the determinant of the observability matrix. The computation of such coefficients
is straightforward and can be easily analytically carried out as demonstrated in this paper for a 5D rational system.
Original languageEnglish
Article number062912
Number of pages10
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume91
Issue number6
DOIs
Publication statusPublished - 18 Jun 2015

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Symbolic Computation
Observability
Multivariate Time Series
Coefficient
coefficients
Polynomial function
determinants
dynamical systems
Univariate
Governing equation
Determinant
polynomials
High-dimensional
Dynamical system
Term
matrices

Cite this

Symbolic computations of non-linear observability. / Bianco-Martinez, Ezequiel Julian; Baptista, Murilo Da Silva; Letellier, Christophe.

In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 91, No. 6, 062912, 18.06.2015.

Research output: Contribution to journalArticle

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