Spatio-Temporal Systems Estimation, Modelling and Analysis
Lead Research Organisation:
University of Sheffield
Department Name: Automatic Control and Systems Eng
Abstract
Systems where the dynamics at any point depends upon the dynamics back in time and the dynamics at neighbouring spatial locations are ubiquitous. These space-time or spatio-temporal systems represent an enormous class of highly complex dynamical systems that have been largely ignored in studies to date. It is the spatial interactions over a neighbourhood of influence that together with the temporal dynamics combine to produce evolving patterns of complex interacting behaviours. Real life examples of spatio-temporal systems are easy to find and range from neuro-imaging applications to stem cells and reaction diffusion systems. The main objective of this research study will be to derive generic systems identification and parameter estimation based procedures to identify models of these complex systems, to develop model validation methods for this model class, to investigate characterisation based on invariant dynamic measures, and to apply the results to a range of both simulated and real spatio-temporal systems.
Organisations
Publications
Akanyeti, O
(2011)
Studying robot environment interaction via transparent controllers
Balikhin M
(2011)
Using the NARMAX approach to model the evolution of energetic electrons fluxes at geostationary orbit NARMAX MODELLING OF RADIATION BELT ELECTRON FLUXES
in Geophysical Research Letters
Balikhin M
(2010)
Data based quest for solar wind-magnetosphere coupling function
in Geophysical Research Letters
Billings S
(2015)
Identification of nonlinear systems with non-persistent excitation using an iterative forward orthogonal least squares regression Algorithm
in International Journal of Modelling, Identification and Control
Billings, SA
(2011)
A time varying model for EEG Granger causality model
Boynton R
(2015)
Online NARMAX model for electron fluxes at GEO
in Annales Geophysicae
Boynton R
(2011)
Using the NARMAX OLS-ERR algorithm to obtain the most influential coupling functions that affect the evolution of the magnetosphere DATA-DEDUCED COUPLING FUNCTIONS
in Journal of Geophysical Research: Space Physics
Boynton R
(2011)
Data derived NARMAX Dst model
in Annales Geophysicae
Friederich U
(2012)
Reverse Engineering Gain Adaptation in Sensory Systems
Friederich, U
(2011)
General processing strategies within the fly early visual system
Friederich, U
(2013)
We now know what fly photoreceptors compute
Genes C
(2019)
Robust Recovery of Missing Data in Electricity Distribution Systems
in IEEE Transactions on Smart Grid
Guo L
(2012)
A Volterra series approach to the frequency domain analysis of non-linear viscous Burgers' equation
in Nonlinear Dynamics
Guo L
(2013)
A Volterra series representation for a class of nonlinear infinite dimensional systems with periodic boundary conditions
in Systems & Control Letters
Guo L
(2013)
The use of Volterra series in the analysis of the nonlinear Schrödinger equation
in Nonlinear Dynamics
Guo L
(2011)
Bayesian identification of stochastic linear systems with observations at multiple scales
in International Journal of Systems Science
Guo L
(2014)
A Spatial Frequency Domain Analysis of the Belousov-Zhabotinsky Reaction
in International Journal of Bifurcation and Chaos
Guo L
(2009)
Identification of partial differential equation models for a class of multiscale spatio-temporal dynamical systems
in International Journal of Control
Guo L
(2014)
Spatial frequency range analysis for the nonlinear Schrödinger equation
in Nonlinear Dynamics
Guo Y
(2013)
A parametric frequency response method for non-linear time-varying systems
in International Journal of Systems Science
GUO Y
(2012)
A SIMPLE SCALAR COUPLED MAP LATTICE MODEL FOR EXCITABLE MEDIA
in International Journal of Bifurcation and Chaos
GUO Y
(2012)
IDENTIFICATION OF EXCITABLE MEDIA USING A SCALAR COUPLED MAP LATTICE MODEL
in International Journal of Bifurcation and Chaos
Guo Y
(2013)
Volterra Series Approximation of a Class of Nonlinear Dynamical Systems Using the Adomian Decomposition Method
in Nonlinear Dynamics
Guo Y
(2014)
An iterative orthogonal forward regression algorithm
in International Journal of Systems Science
Guo Y
(2015)
Identification of continuous-time models for nonlinear dynamic systems from discrete data
in International Journal of Systems Science
GUO Y
(2012)
CHARACTERIZING NONLINEAR SPATIO-TEMPORAL SYSTEMS IN THE FREQUENCY DOMAIN
in International Journal of Bifurcation and Chaos
He F
(2014)
A nonlinear generalization of spectral Granger causality.
in IEEE transactions on bio-medical engineering
He F
(2013)
Identification and frequency domain analysis of non-stationary and nonlinear systems using time-varying NARMAX models
in International Journal of Systems Science
He F
(2013)
Spectral analysis for nonstationary and nonlinear systems: a discrete-time-model-based approach.
in IEEE transactions on bio-medical engineering
Holmes GR
(2012)
Drift-Diffusion Analysis of Neutrophil Migration during Inflammation Resolution in a Zebrafish Model.
in Advances in hematology
Holmes GR
(2012)
Repelled from the wound, or randomly dispersed? Reverse migration behaviour of neutrophils characterized by dynamic modelling.
in Journal of the Royal Society, Interface
Kadirkamanathan V
(2012)
The neutrophil's eye-view: inference and visualisation of the chemoattractant field driving cell chemotaxis in vivo.
in PloS one
Krishnanathan K
(2012)
A data-driven framework for identifying nonlinear dynamic models of genetic parts.
in ACS synthetic biology
Li Y
(2011)
Time-varying model identification for time-frequency feature extraction from EEG data.
in Journal of neuroscience methods
Li Y
(2012)
Time-varying linear and nonlinear parametric model for Granger causality analysis.
in Physical review. E, Statistical, nonlinear, and soft matter physics
Li Y
(2011)
Identification of Time-Varying Systems Using Multi-Wavelet Basis Functions
in IEEE Transactions on Control Systems Technology
Li Y
(2015)
Identification of nonlinear time-varying systems using an online sliding-window and common model structure selection (CMSS) approach with applications to EEG
in International Journal of Systems Science
Munir S
(2019)
Structuring an integrated air quality monitoring network in large urban areas - Discussing the purpose, criteria and deployment strategy
in Atmospheric Environment: X
Munir S
(2019)
Analysing the performance of low-cost air quality sensors, their drivers, relative benefits and calibration in cities-a case study in Sheffield
in Environmental Monitoring and Assessment
Nehmzow, U
(2010)
'Do empirical models of robot environment interaction have a meaning
Olariu V
(2010)
Modeling the evolution of culture-adapted human embryonic stem cells.
in Stem cell research
Sarrigiannis PG
(2014)
Quantitative EEG analysis using error reduction ratio-causality test; validation on simulated and real EEG data.
in Clinical neurophysiology : official journal of the International Federation of Clinical Neurophysiology
Song Z
(2012)
Stochastic, adaptive sampling of information by microvilli in fly photoreceptors.
in Current biology : CB
Description | Developed new theories, methods and algorithms to analyze, model, simulate and control complex spatio-temporal systems |
Exploitation Route | Applications range from modelling crystal growth, to space weather forecasting and flow control |
Sectors | Agriculture, Food and Drink,Chemicals,Communities and Social Services/Policy,Environment,Healthcare |
Description | By medics in treating epilepsy and deep brain stimulation. Space weather forecasting models - Real time forecast of the >800 keV electron flux at geosynchronous orbit |
First Year Of Impact | 2015 |
Sector | Chemicals,Environment,Healthcare,Pharmaceuticals and Medical Biotechnology |
Impact Types | Societal |
Description | Program Grant |
Amount | $900,000 (USD) |
Funding ID | RGP0001/2012 |
Organisation | Human Frontier Science Program (HFSP) |
Sector | Charity/Non Profit |
Country | France |
Start | 06/2012 |
End | 06/2015 |