The problem of an admissible synthesis of inertia controls for non-stationary systems with a multidimensional control with geometrical constraints on the control and its derivatives is considered. The problem is solved analytically for a linear system: a constructive structure of a family of controls is given, each of which solves the problem, the time of motion from the initial point at zero is calculated and the corresponding trajectory is found. For a non-linear system the problem is solved to a first approximation in the case when there are constraints on the control and on its derivatives. © 2003 Elsevier Ltd. All rights reserved.
Korobov, V. I., & Skorik, V. A. (2003). The synthesis of inertial controls for non-stationary systems. Journal of Applied Mathematics and Mechanics, 67(5), 653–664. https://doi.org/10.1016/S0021-8928(03)90038-4