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Nonsmooth Analysis of Lorentz Invariant Functions

SIAM Journal on Optimization, 2007
A real valued function $g(x,t)$ on ${\mathbb{R}}^n \times {\mathbb{R}}$ is called a Lorentz invariant if $g(x,t)=g(Ux,t)$ for all $n \times n$ orthogonal matrices $U$ and all $(x,t)$ in the domain of $g$. In other words, $g$ is invariant under the linear orthogonal transformations preserving the Lorentz cone: $\{(x,t) \in {\mathbb{R}}^n \times {\mathbb{
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Optimal control problems and nonsmooth analysis

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 2002
This paper discusses recent improvements on subdifferential fuzzy sum rules in nonsmooth analysis and their applications to optimal control problems.
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Drill-string vibration analysis considering an axial-torsional-lateral nonsmooth model

Journal of Sound and Vibration, 2019
Luciano P.P. de Moraes, M. Savi
semanticscholar   +1 more source

Use Model Theory in Nonsmooth Analysis

2013
This is a short invitation to using the models of nonstandard set theory in nonsmooth analysis. The techniques of the infinitesimal and Boolean-valued versions of analysis are illustrated by the concept of infinitesimal optimality and the operator-valued Farkas lemma.
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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.
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Nonsmooth dynamic analysis of sticking impacts in rocking structures

Bulletin of Earthquake Engineering, 2017
A. Giouvanidis, E. Dimitrakopoulos
semanticscholar   +1 more source

A method for numerical and experimental nonlinear modal analysis of nonsmooth systems

Mechanical systems and signal processing, 2019
S. Peter, F. Schreyer, R. Leine
semanticscholar   +1 more source

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