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• W4382936215 abstract "In this paper, we consider the case of a particular class of linear time-invariant (LTI) dynamic systems that only require the actuation of a single state to yield controllability of the entire system, dually, only a single state need be observed to render the system observable. This work ties together elements of the state-space, graph, and transfer function representations of dynamic systems to evaluate the controllability and observability properties of a system. More specifically, necessary and sufficient conditions for Ubiquitous Single-Input Controllability (USIC) are introduced using traditional state-feedback perspectives, transfer functions, and a graph theoretical perspective is used to define an additional set of both necessary conditions and sufficient conditions. Ties are also made to structural controllability, and it is shown that any LTI system that meets the USIC condition also meets the structural controllability condition. Finally, brief practical examples are presented." @default.
• W4382936215 created "2023-07-04" @default.
• W4382936215 creator A5008681376 @default.
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• W4382936215 date "2023-05-31" @default.
• W4382936215 modified "2023-09-26" @default.
• W4382936215 title "Ubiquitous Controllability of Single Input Linear Time-Invariant Systems" @default.
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• W4382936215 doi "https://doi.org/10.23919/acc55779.2023.10156513" @default.
• W4382936215 hasPublicationYear "2023" @default.
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