State and parameter estimation in nonlinear systems as an optimal tracking problem

DOI10.1016/j.physleta.2007.12.051zbMath1220.60024OpenAlexW1982007950MaRDI QIDQ637404

Daniel R. Creveling, Philip E. Gill, Henry D. I. Abarbanel

Publication date: 2 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.12.051

zbMATH Keywords

parameter estimationsynchronization

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Signal detection and filtering (aspects of stochastic processes) (60G35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Biological rhythms and synchronization (92B25) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (12)

Accurate state and parameter estimation in nonlinear systems with sparse observations ⋮ Parameter estimation, nonlinearity, and Occam's razor ⋮ Effective actions for statistical data assimilation ⋮ Exploiting dynamical coherence: a geometric approach to parameter estimation in nonlinear models ⋮ Nonlinear system identification employing automatic differentiation ⋮ Dynamical estimation of neuron and network properties. I: Variational methods ⋮ Local observability of state variables and parameters in nonlinear modeling quantified by delay reconstruction ⋮ The stability of adaptive synchronization of chaotic systems ⋮ Optimization of a control law to synchronize first-order dynamical systems on Riemannian manifolds by a transverse component ⋮ Using synchronization of chaos to identify the dynamics of unknown systems ⋮ Synchronization based system identification of an extended excitable system ⋮ Rising Above Chaotic Likelihoods

Uses Software

• SNOPT
• OTIS

Cites Work

• Direct trajectory optimization using nonlinear programming and collocation
• NONLINEAR DYNAMICAL SYSTEM IDENTIFICATION FROM UNCERTAIN AND INDIRECT MEASUREMENTS
• Synchronization in chaotic systems
• SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: State and parameter estimation in nonlinear systems as an optimal tracking problem