Estimates of the attraction domain of linear systems under $L_2$-bounded control

Using the linear matrix inequality technique, in this paper we construct a convex estimate of the attraction domain for a linear system with $L_2$-bounded control in the form of linear static state feedback. A robust statement of the problem is also studied, when the control system contains structured matrix uncertainty. The results of numerical simulations are presented.

Presented by the member of Editorial Board: B. T. Polyak