-

 

 

 




Optimization Online





 

THE MINIMAL TIME FUNCTION ASSOCIATED WITH A COLLECTION OF SETS

Luong Nguyen(luonghdu***at***gmail.com)
Xiaolong Qin(qxlxajh***at***163.com)

Abstract: We first revisit the usual minimal time function in normed spaces. Several new properties, concerning lower semicontinuity, convexity, Lipschitzianity and proximal subdiffer- ential calculus are presented. We then define a minimal time function associated with a collec- tion of sets which is motivated by the optimal time problem for nonconvex dynamics. Many properties of this new function are explored in connection with those of the usual minimal time function.

Keywords: Minimal time function, Proximal subdifferential, Normal cone, Convexity, Lipschitz property.

Category 1: Other Topics (Other )

Citation:

Download: [PDF]

Entry Submitted: 10/02/2017
Entry Accepted: 10/02/2017
Entry Last Modified: 10/02/2017

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society