Limiting subgradients of minimal time functions in Banach spaces |
| |
Authors: | Boris S Mordukhovich Nguyen Mau Nam |
| |
Institution: | 1.Department of Mathematics,Wayne State University,Detroit,USA;2.Department of Mathematics,The University of Texas-Pan American,Edinburg,USA |
| |
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 Fréchet type
ε-subgradients in arbitrary Banach spaces. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|