Regularity of the state constrained minimal time function

✍ Scribed by C. Nour; R.J. Stern

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 194 KB
• Volume: 66
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2005.11.010

✦ Synopsis

The regularity of the state constrained minimal time function is studied. We generalize [P. Wolenski, Y. Zhuang, Proximal analysis and the minimal time function, SIAM J. Control Optim. 36 (1998) 1048-1072, Theorem 6.1] in which Wolenski and Zhuang give necessary and sufficient conditions for Lipschitz continuity of the unconstrained minimal time function, and discuss certain ramifications.