A behavioral equation framework for time-domain transmissibilities. (April 2017)

• Record Type: Journal Article
• Authors: Aljanaideh, Khaled F.; Bernstein, Dennis S.
• Is Part Of: Automatica. Volume 78(2017)
• Page Start: 20
• Page End: 24
• Publication Date: 2017-04
• Subjects: System modeling and analysis -- Transmissibility operators -- Behaviors; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2016.12.006
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: Transmissibilities are widely used in engineering to express the relationship between sets of signals that are not necessarily inputs and outputs in the usual causal sense. Despite their usefulness, a rigorous intellectual framework for transmissibilities has been lacking. In this paper we demonstrate that behavioral equations provide a suitable framework for time-domain transmissibilities by choosing the latent variables in the behavioral equations to be the external signals that drive the system. This connection provides a theoretical foundation for time-domain transmissibilities and demonstrates the relevance of behavioral modeling to an important class of applications.