Exhaustive study on the commutativity of time-varying systems

This paper, which is a survey and a compact reference on the commutativity of time-varying systems, gives the complete set of necessary and sufficient commutativity conditions for systems of any order. Original results are derived on Euler's systems, and explicit commutativity conditions are presented for fourth-order systems, which have not yet appeared in the literature.
International Journal of Control


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Schmidt, Klaus Verner (Institute of Electrical and Electronics Engineers (IEEE), 2013-09-01)
In this paper, we study the diagnosability verification for modular discrete-event systems (DESs), i.e., DESs that are composed of multiple components. We focus on a particular modular architecture, where each fault in the system must be uniquely identified by the modular component where it occurs and solely based on event observations of that component. Hence, all diagnostic computations for faults to be detected in this architecture can be performed locally on the respective modular component, and the obt...
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Citation Formats
M. KÖKSAL, “Exhaustive study on the commutativity of time-varying systems,” International Journal of Control, pp. 1521–1537, 1988, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51956.