Open AccessBook
Optimization and nonsmooth analysis
TLDR
The Calculus of Variations as discussed by the authors is a generalization of the calculus of variations, which is used in many aspects of analysis, such as generalized gradient descent and optimal control.Abstract:
1. Introduction and Preview 2. Generalized Gradients 3. Differential Inclusions 4. The Calculus of Variations 5. Optimal Control 6. Mathematical Programming 7. Topics in Analysis.read more
Citations
More filters
Journal ArticleDOI
Sufficient Conditions for Error Bounds
Zili Wu,Jane J. Ye +1 more
TL;DR: It turns out that a global error bound closely relates to metric regularity, which is useful for presenting sufficient conditions for an l.s. c.
Journal ArticleDOI
Essentially Smooth Lipschitz Functions
TL;DR: In this paper, the authors examined the relationship between integrability, D-representability, and strict differentiability of locally Lipschitz functions on separable Banach spaces.
Journal ArticleDOI
Difference of compact sets in the sense of demyanov and its application to non-smooth analysis
A.M. Rubinov,I.S. Akhundov +1 more
TL;DR: In this paper, the operation of the difference of pairs of convex compacta introduced by Demyanov and the related operation proposed by the authors is investigated and the relationship between the Clarke subdifferential and quasidifferential is clarified.
Journal ArticleDOI
Linear programming based Lyapunov function computation for differential inclusions
TL;DR: In this paper, a numerical algorithm for computing Lyapunov functions for strongly asymptotically stable nonlinear differential functions is presented, which includes spatially switched systems and systems with uncertain parameters.