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Title data
Grüne, Lars ; Zidani, Hasnaa:
Zubov's equation for state-constrained perturbed nonlinear systems.
Department of Mathematics, University of Bayreuth
Bayreuth
,
2015
. - 19 S.
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Project information
| Project title: |
Project's official title Project's id SADCO - Sensitivity Analysis for Deterministic Controller Design 264735 |
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| Project financing: |
European Union "FP7-People-ITN" programme Marie Curie Initial Training Network |
Abstract
The paper gives a characterization of the uniform robust domain of attraction for a finite non-linear 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 state-constrained control problem which at the same time is a Lyapunov function for the system. We provide associated Hamilton-Jacobi-Bellman equations and prove existence and uniqueness of the solutions of these generalized Zubov equations.
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