A class of autonomous continuous-time dynamical systems whose dynamics are governed by equations of the form \[ \dot{\mathbf x}(t) = {\mathbf A}{\mathbf x}(t) + {\mathbf B}u(t),\quad y(t) = {\mathbf C}^ T {\mathbf x}(t),\quad u(t) = f[y(t)] \tag{1} \] is considered. Here \({\mathbf x}(t)\), \(\mathbf B\), \({\mathbf C}^ T \in \mathbb{R}^ n\), \(y(t), u(t) \in \mathbb{R}\), \(\mathbf A\) is an \(n \times n\) real matrix. It is supposed that the parameters of the system (1) are chosen so that it operates in a chaotic mode, i.e. there exists a countable infinity of unstable periodic orbits embedded in the chaotic attractor. This property is used in the suggested control procedure.