Discussions on observability and invertibility
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In this paper, new definitions of observability are introduced. They include states and/or inputs estimation, as well as partial or global observability. From these definitions, problems of left invertibility, fault detection, observability, identifiability, unidirectional synchronization,... can be studied in the same context. Moreover, we propose the definitions for both nonlinear continuous-time systems and switched systems. Two examples are introduced to illustrate the efficiency of the proposed definitions and related propositions introduce in the paper.
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Kang, Wei; Barbot, Jean-Pierre; Xu, Liang (Springer, 2009);In this paper, new concept of observability are introduced for both nonlinear systems and switched systems. The new definitions are applicable to a much broader family of problems of estimation including unmeasured state ...
Zhou, Hong; Kang, Wei; Krener, Arthur; Wang, Hongyun (2010);We apply the observability rank condition to study the observability of various viscoelastic fluids under imposed shear or extensional flows. In this paper the observability means the ability of determining the viscoelastic ...
Andriulli, Mario C. (Monterey, CA; Naval Postgraduate School, 2019-12);This research investigates the suitability of employing the observability Gramian as a computational instrument in analyzing microgrid system operations. An observable system permits the use of a limited sensor network ...