Title data
Grüne, Lars ; Zidani, Hasnaa:
Zubov's equation for stateconstrained perturbed nonlinear systems.
Department of Mathematics, University of Bayreuth
Bayreuth
,
2015
.  19 p.
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Project information
Project title: 
Project's official title  Project's id 

MarieCurie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO)  264735SADCO 

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)
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