Title data
Grüne, Lars ; Zidani, Hasnaa:
Zubov's equation for stateconstrained perturbed nonlinear systems.
Department of Mathematics, University of Bayreuth
In: Mathematical Control and Related Fields.
Vol. 5
(March 2015)
Issue 1
.
 pp. 5571.
ISSN 21568472
DOI: https://doi.org/10.3934/mcrf.2015.5.55
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Project financing: 
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union 
Abstract in another language
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.
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Zubov's equation for stateconstrained perturbed nonlinear systems. (deposited 14 Mar 2015 22:00)
 Zubov's equation for stateconstrained perturbed nonlinear systems. (deposited 19 Mar 2015 10:22) [Currently Displayed]