A. S. Gorobtsov, O. E. Grigor'eva, E. N. Ryzhov, “Attracting ellipsoids and synthesis of oscillatory regimes”, Avtomat. i Telemekh., 2009, Issue 8,Pages <nobr>40

This article is cited in 5 papers

Deterministic Systems

Attracting ellipsoids and synthesis of oscillatory regimes

A. S. Gorobtsov, O. E. Grigor'eva, E. N. Ryzhov

Volgograd State Technical University

Abstract: An approach to stabilization of nonlinear oscillations in multidimensional spaces is proposed on the basis of the V. I. Zubov's stability theory for invariant sets. As a special case, the derived controls make it possible to excite self-oscillating regimes in specified state subspaces $\mathbf{R}^{2k}\subset\mathbf{R}^{2n}$ with simultaneous oscillation damping on Cartesian products $\mathbf{R}^{2n-2k}$.

PACS: 02.30.Yy

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

Received: 18.06.2007