Symbolic computations of non-linear observability

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

Research output: Contribution to journalArticle

14 Citations (Scopus)
4 Downloads (Pure)

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

Fingerprint Dive into the research topics of 'Symbolic computations of non-linear observability'. Together they form a unique fingerprint.

  • Cite this