Proximal Analysis and the Minimal Time Function of a Class of Semilinear Control Systems
Access Status
Open access
Authors
Jiang, Y.
He, Y.
Sun, Jie
Date
2015Type
Journal Article
Metadata
Show full item recordCitation
Jiang, Y. and He, Y. and Sun, J. 2015. Proximal Analysis and the Minimal Time Function of a Class of Semilinear Control Systems. Journal of Optimization Theory and Applications. 169 (3): pp. 784-800.
Source Title
Journal of Optimization Theory and Applications
ISSN
School
Department of Mathematics and Statistics
Remarks
The final publication is available at Springer via http://doi.org/10.1007/s10957-015-0848-z
Collection
Abstract
The minimal time function of a class of semilinear control systems is considered in Banach spaces, with the target set being a closed ball. It is shown that the minimal time functions of the Yosida approximation equations converge to the minimal time function of the semilinear control system. Complete characterization is established for the subdifferential of the minimal time function satisfying the Hamilton–Jacobi–Bellman equation. These results extend the theory of finite dimensional linear control systems to infinite dimensional semilinear control systems.
Related items
Showing items related by title, author, creator and subject.
-
Chai, Qinqin (2013)In this thesis, we develop new computational methods for three classes of dynamic optimization problems: (i) A parameter identification problem for a general nonlinear time-delay system; (ii) an optimal control problem ...
-
Loxton, Ryan Christopher (2010)In this thesis, we develop numerical methods for solving five nonstandard optimal control problems. The main idea of each method is to reformulate the optimal control problem as, or approximate it by, a nonlinear programming ...
-
Woon, Siew Fang (2009)Optimal control problems arise in many applications, such as in economics, finance, process engineering, and robotics. Some optimal control problems involve a control which takes values from a discrete set. These problems ...