Results 111 to 120 of about 108,481 (312)
, 2015 If $- \infty < < < \infty $ and $f \in C^{3} \left( [ , ] \times {\bf R}^{2} , {\bf R} \right) $ is bounded, while $y \in C^{2} \left( [ , ] , {\bf R} \right) $ solves the typical one-dimensional problem of the calculus of variations to minimize the function $$F \left( y \right) = \int_{ }^{ }f \left( x, y(x), y'(x) \right) dx,$
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Enhancing Microrobot Swarm Stability and Adaptation by Autonomous Field‐of‐View Planning
Advanced Intelligent Systems, EarlyView.This work presents an adaptive cross‐field‐of‐view navigation strategy for microrobot swarms in large‐scale workspaces by integrating global path planning via A* and local replanning using optimized informed rapidly‐exploring random tree star . The hybrid approach ensures efficient and robust trajectory execution in dynamic environments, enhancing the ...
Zhaowen Su +3 more
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Monotonicity of the Variance Under Truncation and Variations of Jensen's Inequality [PDF]
, 1969 Y. S. Chow, W. J. Studden
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Quasi variational inequalities
Applied Mathematics Letters, 1988 AbstractProjection Technique is used to suggest a unified and general iterative algorithm for computing the approximate solution of a new class of quasi variational inequalities. The convergence properties of this algorithm are also considered. Several special cases which can be obtained from the general results are also discussed.
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Topology Optimization of Exo‐Glove Poly II for Enhancing Functionality and Wearability
Advanced Intelligent Systems, EarlyView.This study proposes a topology optimization method for Exo‐Glove Poly II to enhance functionality and wearability. By modeling its finger body as a longitudinally periodic structure, a unit cell‐level optimization—aimed at minimizing distortion and achieving user‐preferred stretchability—is established. Experimental validation shows reduced distortion,
Soomin Choi +4 more
wiley +1 more source
Singularities in a variational problem with an inequality [PDF]
, 1966 Boris Garfinkel, G. T. McAllister
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Penalization for variational inequalities
Applied Mathematics Letters, 2009 AbstractThis work illustrates a penalization mechanism, using the distance function as a tool, for providing necessary and sufficient conditions for the solutions of the nonsmooth variational inequality problems.
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Planning and Control Framework for a Quadruped Robot With Changeable Configuration
Advanced Intelligent Systems, EarlyView.Multiconfiguration quadruped robots enhance adaptability by switching between mammal‐like and reptile‐like morphologies. This study presents a nonlinear constraint‐based motion planner integrated with a hierarchical whole‐body controller, enabling robust configuration switching and locomotion on complex terrains. Experiments on slopes, irregular bricks,
Guanglin Lu +5 more
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Analysis and control of a nonlinear boundary value problem
Nonlinear Analysis, 2017 We consider a nonlinear two-dimensional boundary value problem which models the frictional contact of a bar with a rigid obstacle. The weak formulation of the problem is in the form of an elliptic variational inequality of the second kind.
Hadjer Hechaichi, Mircea Sofonea
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Variational inequalities in vector optimization [PDF]
In this paper we investigate the links among generalized scalar variational inequalities of differential type, vector variational inequalities and vector optimization problems.
Crespi Giovanni P. +2 more
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