Trajectory piece-wise quasi-linear approximation of large non-linear dynamic systems

In this work we extend the trajectory piece-wise linear (TPWL) approximation of large, non-linear and input-affine dynamical systems to non-linear systems with non-linear input operators. The new technique is called the trajectory piece-wise quasi-linear (TPWQ) approximation. We explain the motivation for this technique in light of previously reported under-performance of the TPWL method and show that its a more general alternative, developing it is formulation and demonstrating its effectiveness in the process.