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Optimization and nonsmooth analysis
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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
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Journal ArticleDOI
Hemivariational inequalities for stationary Navier–Stokes equations
Stanisław Migórski,Anna Ochal +1 more
TL;DR: In this article, the authors studied a class of inequality problems for the stationary Navier-Stokes type operators related to the model of motion of a viscous incompressible fluid in a bounded domain.
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Certainty-equivalence output-feedback design with circle-criterion observers
TL;DR: A modified circle-criterion observer design is developed that guarantees global asymptotic stability for certainty-equivalence controllers.
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An adaptive gradient sampling algorithm for non-smooth optimization
Frank E. Curtis,Xiaocun Que +1 more
TL;DR: Global convergence of the algorithm is proved assuming that the Hessian approximations are positive definite and bounded, an assumption shown to be true for the proposed Hessian approximation updating strategies.
Journal ArticleDOI
On vector quasivariational inequalities
TL;DR: In this article, the vector quasivariational inequalities and vector variational inequalities for multifunctions with vector values were studied and the existence theorems of solutions for these inequalities were proved.
Variational Inequalities and Regularity Properties of Closed Sets in Hilbert Spaces
TL;DR: In this article, some properties of closed sets which generalize concepts of Convex Analysis are compared and characterized, some of them have a global character and are concerned with controlling the lack of monotonicity of the FrEechet subdifierential of the indicator function.