Regularity of optimal solutions and the optimal cost for hybrid dynamical systems via reachability analysis

DOI10.1016/j.automatica.2023.110913zbMath1519.93022arXiv2112.10891MaRDI QIDQ6160741

Berk Altın, Ricardo G. Sanfelice

Publication date: 26 June 2023

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.10891

zbMATH Keywords

optimal controlhybrid systems

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Attainable sets, reachability (93B03) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (1)

Sufficient Conditions for Optimality and Asymptotic Stability in Two-Player Zero-Sum Hybrid Games

Cites Work

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• Dynamical properties of hybrid systems simulators
• Controllers for reachability specifications for hybrid systems
• Optimization. Algorithms and consistent approximations
• Existence of optimal controls on hybrid time domains
• An introduction to hybrid dynamical systems
• Robust distributed synchronization of networked linear systems with intermittent information
• State estimation of linear systems in the presence of sporadic measurements
• Solutions and reachable sets of hybrid dynamical systems: semicontinuous dependence on initial conditions, time, and perturbations
• A Framework for the Event-Triggered Stabilization of Nonlinear Systems
• Semantics and Computability of the Evolution of Hybrid Systems
• Functional Analysis, Calculus of Variations and Optimal Control
• The Exponential Formula for the Reachable Set of a Lipschitz Differential Inclusion
• Variational Analysis
• A unified framework for hybrid control: model and optimal control theory
• On the Hybrid Minimum Principle: The Hamiltonian and Adjoint Boundary Conditions
• Hybrid Feedback Control
• Forward Invariance of Sets for Hybrid Dynamical Systems (Part I)
• Dynamical properties of hybrid automata
• Impulse differential inclusions: a viability approach to hybrid systems
• A Framework for Stabilization of Nonlinear Sampled-Data Systems Based on Their Approximate Discrete-Time Models
• On the Hybrid Optimal Control Problem: Theory and Algorithms
• Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks
• Forward Invariance of Sets for Hybrid Dynamical Systems (Part II)
• Set-valued analysis
• Viability theory

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