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Differential inequalities and non-lipschitz scalar functions

✍ Scribed by James A. Yorke


Publisher
Springer
Year
1970
Tongue
English
Weight
871 KB
Volume
4
Category
Article
ISSN
1433-0490

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Remarks regarding the gap between contin
✍ Lionel Rosier; Eduardo D. Sontag πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 179 KB

This paper deals with the regularity of solutions of the Hamilton-Jacobi inequality which arises in H∞ control. It shows by explicit counterexamples that there are gaps between existence of continuous and locally Lipschitz (positive deÿnite and proper) solutions, and between Lipschitz and continuous