Title data
Grüne, Lars ; Zidani, Hasnaa:
Zubov's equation for stateconstrained perturbed nonlinear systems.
Department of Mathematics, University of Bayreuth
Bayreuth
,
2015
.  19 S.
PDF
Gruene_et_al_zubov_equ_stateconstr_perturbed_nonlin_sys_2015.pdf  Preprint Available under License Deutsches Urheberrechtsgesetz . Download (1MB) 
Project information
Project title: 



Project financing: 
Andere European Union "FP7PeopleITN" programme 
Abstract
The paper gives a characterization of the uniform robust domain of attraction for a finite nonlinear controlled system subject to perturbations and state constraints. We extend the Zubov approach to characterize this domain by means of the value function of a suitable infinite horizon stateconstrained control problem which at the same time is a Lyapunov function for the system. We provide associated HamiltonJacobiBellman equations and prove existence and uniqueness of the solutions of these generalized Zubov equations.