- Title
- Nonsmooth Lyapunov pairs for differential inclusions governed by operators with nonempty interior domain
- Creator
- Adly, Samir; Hantoute, Abderrahim; Thera, Michel
- Date
- 2016
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/162071
- Identifier
- vital:12609
- Identifier
-
https://doi.org/10.1007/s10107-015-0938-6
- Identifier
- ISBN:0025-5610
- Abstract
- The general theory of Lyapunov stability of first-order differential inclusions in Hilbert spaces has been studied by the authors in the previous paper (Adly et al. in Nonlinear Anal 75(3): 985–1008, 2012). This new contribution focuses on the case when the interior of the domain of the maximally monotone operator governing the given differential inclusion is nonempty; this includes in a natural way the finite-dimensional case. The current setting leads to simplified, more explicit criteria and permits some flexibility in the choice of the generalized subdifferentials. Some consequences of the viability of closed sets are given. Our analysis makes use of standard tools from convex and variational analysis. © 2015, Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society.
- Publisher
- Springer Verlag
- Relation
- Mathematical Programming Vol. 157, no. 2 (2016), p. 349-374
- Rights
- Copyright © 2015, Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society.
- Rights
- This metadata is freely available under a CCO license
- Rights
- Open Access
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0802 Computation Theory and Mathematics; Evolution differential inclusions; Generalized subdifferentials; Invariant sets; Lower semicontinuous Lyapunov pairs and functions; Maximally monotone operators
- Full Text
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