Nonlinear Galerkin methods: the finite elements case
Numerische Mathematik
Representation and control of infinite dimensional systems (vol. 1)
Representation and control of infinite dimensional systems (vol. 1)
Hybrid Karhunen-Loeve/neural modelling for a class of distributed parameter systems
International Journal of Intelligent Systems Technologies and Applications
Energy distribution modeling of car body deformation using LPV representations and fuzzy reasoning
WSEAS TRANSACTIONS on SYSTEMS
LPV approximation of distributed parameter systems in environmental modelling
Environmental Modelling & Software
International Journal of Systems Science
Application of LPV type force model in vehicle crash dynamics
ACE'10 Proceedings of the 9th WSEAS international conference on Applications of computer engineering
Approximation of force and energy in vehicle crash using LPV type description
WSEAS TRANSACTIONS on SYSTEMS
HOSVD based data representation and LPV model complexity reduction
AMERICAN-MATH'11/CEA'11 Proceedings of the 2011 American conference on applied mathematics and the 5th WSEAS international conference on Computer engineering and applications
Model-based predictive control for spatially-distributed systems using dimensional reduction models
International Journal of Automation and Computing
Mathematics and Computers in Simulation
Hi-index | 22.14 |
The identification of finite dimensional discrete-time models of deterministic linear and nonlinear infinite dimensional systems from pointwise observations is investigated. The input and output observations are used to construct finite dimensional approximations of the solution and the forcing function which are expanded in terms of a finite element basis. An algorithm to determine a minimal basis to approximate the data is introduced. Subsequently, the resulting coordinate vectors are used to identify a finite dimensional discrete-time model. Theoretical results concerning the existence, stability and convergence of the finite dimensional representation are established. Numerical results involving identification of finite dimensional models for both linear and nonlinear infinite dimensional systems are presented.