Multilinear Time-Invariant Systems

Multilinear time-invariant (MTI) systems are nonlinear systems, a subclass of polynomial systems, and a superclass of  linear systems (LTI) as well as binary systems. They can be represented by tensors or multi-index structures, resp. This opens the door to application of modern decomposition methods which allow to derive approximations with adjustable error norms and ranks, resp. Their computational performance for large scale problems can cope – up to certain limits – with curse of dimensionality problems.

Software: MTI-Toolbox (beta version without any warrenty!)

Uses: Tensorlab | Tensor Toolbox | TT Toolbox | HTucker Toolbox