The method of normal local stabilization
Journal Title: Проблемы анализа-Issues of Analysis - Year 2019, Vol 8, Issue 1
Abstract
A problem of nonlinear systems stabilization is studied. Admissible controls are piecewise constant. The notion of normal local stabilizability is proposed. A point P (not necessary equilibrium) is normally locally stabilizable if for any τ > 0 there exists such neighborhood D(P; < τ) of P that any point x ∈ D(P; < τ) can be steered, in a time less than τ, to any neighborhood of P and remains there. The constructive method of normal local stabilization of nonlinear autonomous systems is presented. This method involves a special sequence of contracting cylinders containing a trajectory. A domain of attraction of a given point is constructed.
Authors and Affiliations
A. N. Kirillov
Keywords
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- EP ID EP493228
- DOI 10.15393/j3.art.2019.4610
- Views 65
- Downloads 0
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