Strong asymptotic stability and constructing of stabilizing controls*

Анотація

We show the role which plays a recent theorem on the strong asymptotic stability in the analysis of the strong stabilizability problem in Hilbert spaces. We consider a control system with skew-adjoint operator and one-dimensional control. We examine in details the property for a linear feed-back control to stabilize such a system. A robustness analysis of stabilizing controls is also given.