Adaptive Regulation to Invariant Sets

Authors:	Tyukin Ivan, RIKEN Brain Science Institute, Japan Efimov Denis, Institute for Problems of Mechanical Engineering, RAS, Russian Federation van Leeuwen Cees, RIKEN Brain Science Institute, Japan
Topic:	1.2 Adaptive and Learning Systems
Session:	Nonlinear Adaptive Control
Keywords:	adaptive systems, non-equilibrium dynamics, invariance, algorithmsin finite form

Abstract

A new framework for adaptive regulation of dynamical systems toinvariant sets is proposed. The framework allows to adaptivelysteer the system trajectories to a desired non-equilibrium statewithout requiring knowledge or even existence of a specific strictLyapunov function.