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Nonsmooth analysis and parametric optimization
1990In an optimization problem that depends on parameters, an important issue is the effect that perturbations of the parameters can have on solutions to the problem and their associated multipliers. Under quite broad conditions the possibly multi-valued mapping that gives these elements in terms of the parameters turns out to enjoy a property of “proto ...
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Nonsmooth analysis on the plane. II
[For Part I, see \textit{V. F. Dem'yanov}, Soros. Obraz. Zh. 1997, No. 8(21), 122-127 (1997; preceding review).] Nonsmooth analysis problems are considered on the plane. The author introduces the notion of quasidifferential and gives basic instructions on calculation of quasidifferentials. Numerical examples are considered.openaire +2 more sources
Qualitative Analysis of Nonsmooth Dynamics
2016This book investigates the behavior of simple nonsmooth mechanical systems where the nonsmoothness arises from non-regularized unilateral contact and Coulomb friction.The authors focus on Coulomb friction to discuss how regularization greatly simplifies the mathematics behind this dynamics but may remove the main qualitative features and thus lead to ...
Léger, Alain, Pratt, Elaine
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Nonsmooth analysis and differential games
1988One of the major difficulties in the theory of differential games is the lack of differentiability of the value function. One way around this difficulty is to use viscosity solutions (see Lions and Souganidis [5]) of the Isaacs-Bellman equations. In this paper we demonstrate the use of nonsmooth analysis (see Clarke [2]) as a natural tool for obtaining
J. Macki, ZECCA, PIETRO
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Nonsmooth dynamic analysis of sticking impacts in rocking structures
Bulletin of Earthquake Engineering, 2017A. Giouvanidis, E. Dimitrakopoulos
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