Affine Tensor Product Model Transformation

Friction Model Based on Tensor Product Transformation

Friction is a very old and universal issue in all mechanical systems. Since friction is non-linear, it is an ever challenging problem. Several empirical nonlinear friction models have been proposed in the technical literature. This paper does not propose any new model but it presents a new, tensor product (TP) based representation of the existing friction models which is suitable for control de...

Fast Tensor Product Model Transformation for Higher Dimensional Problems

Tensor Product (TP) model transformation method was proposed recently as an automated gateway between a class of non-linear models and linear matrix inequality based control design. The core of the TP model transformation is the higher order singular value decomposition of a large sized tensor, which requires high computational power that is usually out of a regular computer capacity in case of...

A Note on Tensor Product of Graphs

Let $G$ and $H$ be graphs. The tensor product $Gotimes H$ of $G$ and $H$ has vertex set $V(Gotimes H)=V(G)times V(H)$ and edge set $E(Gotimes H)={(a,b)(c,d)| acin E(G):: and:: bdin E(H)}$. In this paper, some results on this product are obtained by which it is possible to compute the Wiener and Hyper Wiener indices of $K_n otimes G$.

Tensor Product Model Transformation Based Adaptive Integral-Sliding Mode Controller: Equivalent Control Method

This paper proposes new methodologies for the design of adaptive integral-sliding mode control. A tensor product model transformation based adaptive integral-sliding mode control law with respect to uncertainties and perturbations is studied, while upper bounds on the perturbations and uncertainties are assumed to be unknown. The advantage of proposed controllers consists in having a dynamical ...

Polytopic Decomposition of Linear Parameter-Varying Models by Tensor-Product Model Transformation