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A dynamic model and system-theoretic analysis of affect based on a Piecewise Linear system

This work proposes a Piecewise Linear (PL) system to model transitions of affect. Parameters of the model are identified based on a psychological experiment. The PL system describes affective reactions of humans to an external affective stimulus depending on the previous affective state. Results of the statistical analysis support that the previous affective state influences significantly the current affective state. Evaluation of the model shows that it is suitable as mathematical representation for the development of affect over time under the influence of an external stimulus. A following system-theoretic analysis of the model reveals that the PL system shows complex dynamic characteristics. It suggests that internal affective fluctuations exist.