Methods for Control of Dynamical Systems with Delayed Feedback

Abstract

We study the stabilization of linear nonstationary dynamical systems by introducing a linear nonstationary feedback with delay. We obtain sufficient stabilization conditions for the systems and propose a method for constructing stabilizing matrices. Bibliography: 12 titles.

Approximate Methods for Solving Problems of Mathematical Physics on Neural Hopfield Networks

“…As noted above, the continuous method for solving nonlinear operator equations is based on Lyapunov's stability theory. The authors have studied the stability of Hopfield neural networks [22,57] and considered some issues of stabilization for dynamic systems [58,59]. A new statement of the problem of stabilization for dynamical systems was given in [60,61].…”