Title data
Grüne, Lars ; Zidani, Hasnaa:
Zubov's equation for state-constrained perturbed nonlinear systems.
In: Mathematical Control and Related Fields.
Vol. 5
(2015)
Issue 1
.
- pp. 55-71.
ISSN 2156-8472
DOI: https://doi.org/10.3934/mcrf.2015.5.55
This is the latest version of this item.
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Project information
Project title: |
Project's official title Project's id Marie-Curie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO) 264735-SADCO |
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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 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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Zubov's equation for state-constrained perturbed nonlinear systems. (deposited 14 Mar 2015 22:00)
- Zubov's equation for state-constrained perturbed nonlinear systems. (deposited 19 Mar 2015 10:22) [Currently Displayed]