We establish a Pontryagin maximum principle for discrete time optimal control problems under the following three types of constraints: a) constraints on the states pointwise in time, b) constraints on the control actions pointwise in time, and c) constraints on the frequency spectrum of the optimal control trajectories. While the first two types of constraints are already included in the existi...

This article considers a discrete-time robust optimal control problem on matrix Lie groups. The underlying system is assumed to be perturbed by exogenous unmeasured bounded disturbances, and the posed as min–max wherein disturbance adversary tries maximize cost that minimize. Assuming existence of saddle point in problem, we present version Pontryagin maximum principle (PMP) encapsulates first-...

Optimal control theory is a powerful mathematical tool, which has known rapid development since the 1950s, mainly for engineering applications. More recently, it become widely used method to improve process performance in quantum technologies by means of highly efficient dynamics. This tutorial aims at providing an introduction key concepts optimal that accessible physicists and engineers worki...