DigitalCommons@WayneState

Title

Limiting Subgradients of Minimal Time Functions in Banach Spaces

Authors

Boris S. Mordukhovich, Wayne State UniversityFollow
Nguyen Mau Nam, The University of Texas-Pan American, Edinburg, TXFollow

Document Type

Technical Report

Abstract

The paper mostly concerns the study of generalized differential properties of the so-called minimal time functions associated, in particular, with constant dynamics and arbitrary closed target sets in control theory. Functions of this type play a significant role in many aspects of optimization, control theory: and Hamilton-Jacobi partial differential equations. We pay the main attention to computing and estimating limiting subgradients of the minimal value functions and to deriving the corresponding relations for Frechet type epsilon-subgradients in arbitrary Banach spaces.

Number in Series

2008.09

Disciplines

Applied Mathematics | Mathematics

AMS Subject Classification

49J52, 49J53, 90C31

Comments

Dedicated to Franco Giannessi in honor of his 75th birthday

Recommended Citation

Mordukhovich, Boris S. and Nam, Nguyen Mau, "Limiting Subgradients of Minimal Time Functions in Banach Spaces" (2008). Mathematics Research Reports. 59.
https://digitalcommons.wayne.edu/math_reports/59