Results 11 to 20 of about 22,029,176 (147)
, 1984 This survey of nonsmooth analysis sets out to prove an inverse function theorem for set-valued maps. The inverse function theorem for the more usual smooth maps plays a very important role in the solution of many problems in pure and applied analysis, and we can expect such an adaptation of this theorem also to be of great value. For example, it can be
Aubin, J.-P., Ekeland, I.
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Nonsmooth Dynamical Systems: Analysis, Control and Optimization
, 2023 For the modeling of a large class of physical phenomena, certain electrical and mechanical devices, and even for some algorithms, the framework of nonsmooth systems provides a class of mathematical models that accurately describe the underlying ...
Diehl, Moritz +2 more
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Sensor-based motion planning via nonsmooth analysis [PDF]
, 2002 In this thesis we present a novel approach to sensor-based motion planning developed using the mathematical tools provided by the field of nonsmooth analysis.
Rusaw, Shawn., Rusaw, Shawn
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Variational Methods for Nonsmooth Mechanics [PDF]
, 2003 In this thesis we investigate nonsmooth classical and continuum mechanics and its discretizations by means of variational numerical and geometric methods.
Fetecau, Razvan Constantin
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Lateral fligh control design for a highly flexible aircraft using a nonsmooth method [PDF]
, 2009 This paper describes a nonsmooth optimization technique for designing a lateral flight control law for a highly flexible aircraft. Flexible modes and high-dimensional models pose a major challenge to modern control design tools.
H. D. Tuan +7 more
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KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization [PDF]
, 2014 For a long time, the bilevel programming problem has essentially been considered as a special case of mathematical programs with equilibrium constraints (MPECs), in particular when the so-called KKT reformulation is in question.
Zemkoho, Alain B., Dempe, Stephan
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Optimizing condition numbers [PDF]
, 2009 In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n\times n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function.
Maréchal, Pierre, Ye, Jane
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Variational Methods for Control and Design of Bipedal Robot Models [PDF]
, 2010 This thesis investigates nonsmooth mechanics using variational methods for the modeling, control, and design of bipedal robots. The theory of Lagrangian mechanics is extended to capture a variety of nonsmooth collision behaviors in rigid body systems.
Pekarek, David N.
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Nonsmooth sequential analysis in Asplund spaces [PDF]
, 1996 We develop a generalized differentiation theory for nonsmooth functions and sets with nonsmooth boundaries defined in Asplund spaces. This broad subclass of Banach spaces provides a convenient framework for many important applications to optimization ...
Mordukhovich, B.S., Shao, Y.
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Geometric Control and Nonsmooth Analysis
, 2008 The volume provides a synthetic account of past research, to give an up-to-date guide to current intertwined developments of control theory and nonsmooth analysis, and also to point to future research directions.
MARCHI C. . ANCONA F. +16 more
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