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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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 ...
Kang, Wei (2011);In this paper, a new definition of observability is introduced for PDEs. It is a quantitative measure of partial observability. The quantity is proved to be consistent if approximated using well posed approximation schemes. ...
Marques, Antonio Jose Gameiro (1986-12);The problem of identification of essential states is considered, leading to the definition of the concept of relative observability. Two analytical methods and two graphical methods to evaluate the relative degree of ...