A Multilinear Singular Value Decomposition
SIAM Journal on Matrix Analysis and Applications
LPV approximation of distributed parameter systems in environmental modelling
Environmental Modelling & Software
Vehicle mathematical model reduction considering the brake system dynamics
WSEAS TRANSACTIONS on SYSTEMS
Exact tensor product distributed compensation based stabilization of the TORA system
CONTROL'05 Proceedings of the 2005 WSEAS international conference on Dynamical systems and control
Identification of finite dimensional models of infinite dimensional dynamical systems
Automatica (Journal of IFAC)
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
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In accident analysis, vehicle crash mechanics and vehicle safety research modeling of the deformational force and absorbed energy plays a crucial role. The usually applied FEM based methods give good approximations, but they have extremely large computational complexity and require a detailed knowledge about the parameteres of the crash and the vehicle. There are simpler models, but they not give satisfactory approximation. In this paper using the LPV-HOSVD paradigm we introduce a model for vehicle deformation process, which well approximates the deformation force and the absorbed energy, moreover it has acceptable computational complexity.