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Lyapunov Functions for Infinite-Dimensional Systems

✍ Scribed by Maciej Kocan; Pierpaolo Soravia

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
203 KB
Volume
192
Category
Article
ISSN
0022-1236

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✦ Synopsis

We study Lyapunov functions for infinite-dimensional dynamical systems governed by general maximal monotone operators. We obtain a characterization of Lyapunov pairs by means of the associated Hamilton-Jacobi partial differential equations, whose solutions are meant in the viscosity sense, as evolved in works of Tataru and Crandall-Lions. Our approach also leads to a new sufficient condition for Lyapunov pairs, generalizing a classical result of Pazy.

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