Monotone numerical schemes and feedback construction for hybrid control systems

DOI10.1007/s10957-014-0637-0zbMath1318.49056OpenAlexW2030361223MaRDI QIDQ2347571

Roberto G. Ferretti, Hasnaa Zidani

Publication date: 5 June 2015

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-014-0637-0

zbMATH Keywords

hybrid control systemsvalue functionoptimal feedback lawmonotone numerical schemes

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Optimal feedback synthesis (49N35) Feedback control (93B52) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (8)

Optimal route planning for sailing boats: a hybrid formulation ⋮ Hamilton–Jacobi–Bellman Equations ⋮ A semi-Lagrangian algorithm in policy space for hybrid optimal control problems ⋮ Error estimates for numerical approximation of Hamilton-Jacobi equations related to hybrid control systems ⋮ Stochastic hybrid differential games and match race problems ⋮ Viscosity Solutions of Hybrid Game Problems with Unbounded Cost Functionals ⋮ Hybrid control for optimal visiting problems for a single player and for a crowd ⋮ Monotone numerical schemes and feedback construction for hybrid control systems

Cites Work

• Switching in systems and control
• Semi-Lagrangian schemes for Hamilton-Jacobi equations, discrete representation formulae and Godunov methods
• Monotone numerical schemes and feedback construction for hybrid control systems
• Two Approximations of Solutions of Hamilton-Jacobi Equations
• Hybrid Control Systems and Viscosity Solutions
• Optimal Control of Hybrid Systems and a System of Quasi-Variational Inequalities
• Some Relations Between Nonexpansive and Order Preserving Mappings
• A unified framework for hybrid control: model and optimal control theory
• An approximation scheme for the optimal control of diffusion processes
• Unbounded viscosity solutions of hybrid control systems
• Semi-Lagrangian Approximation Schemes for Linear and Hamilton—Jacobi Equations
• Hybrid dynamical systems
• Level-Set Approach for Reachability Analysis of Hybrid Systems under Lag Constraints
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Monotone numerical schemes and feedback construction for hybrid control systems