Nonsmooth analysis of the minimal time function for semilinear control systems

DOI10.23952/jnva.8.2024.5.03MaRDI QIDQ6615603

Unnamed Author, Ping Luo

Publication date: 8 October 2024

Published in: Journal of Nonlinear and Variational Analysis (Search for Journal in Brave)

zbMATH Keywords

subdifferentialoptimal value functionsemilinear control systemsHamiltonian functionminimal time function

Mathematics Subject Classification ID

Operator theory (47-XX) Functional analysis (46-XX)

Cites Work

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• Proximal analysis and the minimal time function of a class of semilinear control systems
• Generic well-posedness for perturbed optimization problems in Banach spaces
• Subdifferential properties of the minimal time function of linear control systems
• Porosity of perturbed optimization problems in Banach spaces
• Well-posedness of a class of perturbed optimization problems in Banach spaces
• Exact characterization for subdifferentials of a special optimal value function
• Minimal time functions and the smallest intersecting ball problem with unbounded dynamics
• Subdifferentials of a minimal time function in normed spaces
• Subdifferentials of a minimum time function in Banach spaces
• The subgradient formula for the minimal time function in the case of constant dynamics in Hilbert space
• On the Bellman Equation for the Minimum Time Problem in Infinite Dimensions
• The minimal time function associated with a collection of sets

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