Applications of interval arithmetic to the analysis and control of structural systems
Andrea Del Grosso, Alessandro Zucchini · Smart Materials and Structures · 1993
Discusses the capabilities of a mathematical tool useful in the simulation of physical and diagnostic reasoning, particularly with application to smart structures logic. More precisely, a few sample problems in structural analysis and control are formulated and solved arithmetically in terms of interval-valued variables, i.e. in terms of variables that can take any numerical value within a given set. Interval variables can also be used to represent uncertainties of a nonprobabilistic nature and enable the formulation of semi-qualitative physical models consistent with typical reasoning paradigms, where the ability to discern between different behavioural states and causal paths is an important feature.