Error estimates for numerical approximation of Hamilton-Jacobi equations related to hybrid control systems - ENSTA Paris - École nationale supérieure de techniques avancées Paris Access content directly
Journal Articles Applied Mathematics and Optimization Year : 2018

Error estimates for numerical approximation of Hamilton-Jacobi equations related to hybrid control systems

Abstract

Hybrid control systems are dynamical systems that can be controlled by a combination of both continuous and discrete actions. In this paper we study the approximation of optimal control problems associated to this kind of systems, and in particular of the Quasi-Variational Inequality which characterizes the value function. Our main result features the error estimates between the value function of the problem and its approximation. We also focus on the hypotheses describing the mathematical model and the properties defining the class of numerical scheme for which the result holds true.
Fichier principal
Vignette du fichier
Hybrid_FSZ_Hal.pdf (355.57 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01617686 , version 1 (16-10-2017)

Identifiers

Cite

Roberto Ferretti, Achille Sassi, Hasnaa Zidani. Error estimates for numerical approximation of Hamilton-Jacobi equations related to hybrid control systems. Applied Mathematics and Optimization, 2018, ⟨10.1007/s00245-018-9515-8⟩. ⟨hal-01617686⟩
133 View
233 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More