# Modeling, Design, and Simulation of Systems with UncertaintiesA New Method for Inner Estimation of Solution Sets to Interval Linear Systems

Modeling, Design, and Simulation of Systems with Uncertainties: A New Method for Inner Estimation... [For an interval system of linear equations Ax = b, we consider the problem of inner estimation of its solution set, formed by all the solutions to point systems Ax= b with A∈A and b∈b. The so-called “center approach” to the problem is developed when the inner interval box is constructed around an a priori known center point from the solution set. Determining the size of the inner box is shown to be reduced to a maximization problem for a special quasiconcave objective function.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

# Modeling, Design, and Simulation of Systems with UncertaintiesA New Method for Inner Estimation of Solution Sets to Interval Linear Systems

Part of the Mathematical Engineering Book Series (volume 3)
Editors: Rauh, Andreas; Auer, Ekaterina
22 pages

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# References (18)

Publisher
Springer Berlin Heidelberg
ISBN
978-3-642-15955-8
Pages
21 –42
DOI
10.1007/978-3-642-15956-5_2
Publisher site
See Chapter on Publisher Site

### Abstract

[For an interval system of linear equations Ax = b, we consider the problem of inner estimation of its solution set, formed by all the solutions to point systems Ax= b with A∈A and b∈b. The so-called “center approach” to the problem is developed when the inner interval box is constructed around an a priori known center point from the solution set. Determining the size of the inner box is shown to be reduced to a maximization problem for a special quasiconcave objective function.]

Published: May 13, 2011