Reachability Approaches and Ellipsoidal Techniques for Closed-Loop Control of Oscillating Systems under Uncertainty

This paper indicates effective solution schemes for problems of closed-loop control for oscillating systems of high dimensions subjected to unknown but bounded disturbances. These schemes are based on using internal ellipsoidal approximations of weakly invariant solvability sets and produce effective numerical algorithms. The text is accompanied by computer animation and numerical simulations based on ellipsoidal tools for calculating reach sets