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On the existence of a continuous storage function for dissipative systems

✍ Scribed by I.G. Polushin; H.J. Marquez

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
110 KB
Volume
46
Category
Article
ISSN
0167-6911

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✦ Synopsis

Conditions for nonlocal existence of a continuous storage function for nonlinear dissipative system are presented. More precisely, it is shown that under the local w-uniform reachability assumption at one point x, the required supply function is continuous on the set of points reachable from x. Conditions for the local w-uniform reachability based on the local controllability properties of the system are provided.

πŸ“œ SIMILAR VOLUMES

Remarks regarding the gap between contin
Remarks regarding the gap between continuous, Lipschitz, and differentiable storage functions for dissipation inequalities appearing in H∞ control
✍ 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