Multilinear time-invariant (MTI) models describe nonlinear systems behaviour explict or implict by parameter tensors. These are natural extensions to real parameter matrices of continuous-valued linear time-invariant (LTI) models. Moreover, all discrete-valued dynamics can be modeled in Boolean representation as well. This opens the door to the application of modern tensor decomposition methods for large scale hybrid systems, which are able to cope with the curse of dimensionality.
Software: MTI-Toolbox (release 2.0 coming soon)
Uses: Tensorlab | Tensor Toolbox | TT Toolbox | HTucker Toolbox