Metric regularity of the feasible set mapping in semi-infinite optimization

1994 ◽  
Vol 30 (1) ◽  
pp. 103-109 ◽  
Author(s):  
R. Henrion ◽  
D. Klatte
Keyword(s):  
Metric Regularity ◽  
Feasible Set ◽  
Feasible Set Mapping

scholarly journals Lower Semicontinuity of the Feasible Set Mapping of Linear Systems Relative to Their Domains

2012 ◽  
Vol 21 (1) ◽  
pp. 67-92 ◽  
Author(s):  
Aris Daniilidis ◽  
Miguel A. Goberna ◽  
Marco A. López ◽  
Roberto Lucchetti
Keyword(s):  
Linear Systems ◽  
Lower Semicontinuity ◽  
Feasible Set ◽  
Feasible Set Mapping

On Metric Regularity and the Boundary of the Feasible Set in Linear Optimization

2013 ◽  
Vol 22 (1) ◽  
pp. 1-17 ◽  
Author(s):  
Mercedes Larriqueta ◽  
Virginia N. Vera de Serio
Keyword(s):  
Metric Regularity ◽  
Linear Optimization ◽  
Feasible Set

Calmness of the Feasible Set Mapping for Linear Inequality Systems

2014 ◽  
Vol 22 (2) ◽  
pp. 375-389 ◽  
Author(s):  
M. J. Cánovas ◽  
M. A. López ◽  
J. Parra ◽  
F. J. Toledo
Keyword(s):  
Linear Inequality ◽  
Linear Inequality Systems ◽  
Feasible Set ◽  
Feasible Set Mapping ◽  
Inequality Systems

scholarly journals Stability of the Feasible Set Mapping of Linear Systems with an Exact Constraint Set

2007 ◽  
Vol 16 (5-6) ◽  
pp. 621-635 ◽  
Author(s):  
Jorge Amaya ◽  
Paul Bosch ◽  
Miguel A. Goberna
Keyword(s):  
Linear Systems ◽  
Feasible Set ◽  
Feasible Set Mapping ◽  
Constraint Set ◽  
Exact Constraint

Error bounds for the inverse feasible set mapping in linear semi-infinite optimization via a sensitivity dual approach

Optimization ◽  
2007 ◽  
Vol 56 (5-6) ◽  
pp. 547-563 ◽  
Author(s):  
M. J. Cánovas ◽  
M. A. López ◽  
J. Parra ◽  
F. J. Toledo
Keyword(s):  
Error Bounds ◽  
Dual Approach ◽  
Feasible Set ◽  
Feasible Set Mapping

Characterization of the feasible set mapping in one class of semi-infinite optimization problems

Top ◽  
2004 ◽  
Vol 12 (1) ◽  
pp. 135-147 ◽  
Author(s):  
Estela L. Juárez ◽  
Maxim I. Todorov
Keyword(s):  
Optimization Problems ◽  
Feasible Set ◽  
Feasible Set Mapping

scholarly journals Upper-Limb Isometric Force Feasible Set: Evaluation of Joint Torque-Based Models

Biomechanics ◽  
2021 ◽  
Vol 1 (1) ◽  
pp. 102-117
Author(s):  
Nasser Rezzoug ◽  
Vincent Hernandez ◽  
Philippe Gorce
Keyword(s):  
Upper Limb ◽  
Isometric Force ◽  
Joint Torque ◽  
Force Distribution ◽  
Prediction Errors ◽  
Feasible Set ◽  
Joint Torques ◽  
Motor Abilities ◽  
Capacity Evaluation ◽  
Measured Force

A force capacity evaluation for a given posture may provide better understanding of human motor abilities for applications in sport sciences, rehabilitation and ergonomics. From data on posture and maximum isometric joint torques, the upper-limb force feasible set of the hand was predicted by four models called force ellipsoid, scaled force ellipsoid, force polytope and scaled force polytope, which were compared with a measured force polytope. The volume, shape and force prediction errors were assessed. The scaled ellipsoid underestimated the maximal mean force, and the scaled polytope overestimated it. The scaled force ellipsoid underestimated the volume of the measured force distribution, whereas that of the scaled polytope was not significantly different from the measured distribution but exhibited larger variability. All the models characterized well the elongated shape of the measured force distribution. The angles between the main axes of the modelled ellipsoids and polytopes and that of the measured polytope were compared. The values ranged from 7.3° to 14.3°. Over the entire surface of the force ellipsoid, 39.7% of the points had prediction errors less than 50 N; 33.6% had errors between 50 and 100 N; and 26.8% had errors greater than 100N. For the force polytope, the percentages were 56.2%, 28.3% and 15.4%, respectively.

Sign in / Sign up

Export Citation Format

Share Document