arXiv:math/0412442 [math.OC]AbstractReferencesReviewsResources
Adaptive Regulation to Invariant Sets
Ivan Tyukin, Denis Efimov, Cees van Leeuwen
Published 2004-12-22Version 1
A new framework for adaptive regulation to invariant sets is proposed. Reaching the target dynamics (invariant set) is to be ensured by state feedback while adaptation to parametric uncertainties is provided by additional adaptation algorithm. We show that for a sufficiently large class of nonlinear systems it is possible to adaptively steer the system trajectories to the desired non-equilibrium state without requiring knowledge or existence of a specific strict Lyapunov function.
Comments: 7 pages, preprint of the paper accepted for the 16-th IFAC World Congress, Prague, 2005
Related articles: Most relevant | Search more
arXiv:2301.04300 [math.OC] (Published 2023-01-11)
Adaptive Regulation with Global KL Guarantees
arXiv:2406.08994 [math.OC] (Published 2024-06-13)
Asymptotic Stability and Strict Passivity of Port-Hamiltonian Descriptor Systems via State Feedback
arXiv:1710.09752 [math.OC] (Published 2017-10-26)
New Approach to General Nonlinear Discrete-Time Stochastic $H_\infty$ Control