Representation of the Fraction of Attention in Man-Machine Systems by Catastrophe Theory

Abstract

A problem of ‘the fraction of attention; f’ is considered on the basis of the optimal control model of human response (OCM) incorporated with psychological limitations of the human as well as physiological ones.
To introduce psycological phenomena into the OCM, firstly, the f-dependence of Kalman gains and transfer functions of human response is derived. Secondly, a psychological space model for the fraction of attention is tentatively described by catastrophe theory. Finally, numerical results of one dimensional model are demonstrated for the purpose of supporting the validation of method presented in this paper.