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Stochastic Observability of Linear Systems under Access Constraints
Author(s) -
Zhang Hui,
Tian Yin,
Gao Lixin
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1035
Subject(s) - observability , equivalence (formal languages) , sequence (biology) , binary number , invariant (physics) , interval (graph theory) , computer science , discrete time and continuous time , mathematics , linear system , lti system theory , control theory (sociology) , discrete mathematics , control (management) , mathematical analysis , statistics , genetics , arithmetic , combinatorics , artificial intelligence , mathematical physics , biology
Using information theoretic measures, this paper investigates the observability of discrete‐time linear stochastic systems which have insufficient communication channels to accommodate all the sensors simultaneously. The communication status is described by a binary‐valued access sequence. For time‐varying systems, it is proved that within a finite time interval the stochastic observability is preserved by an access sequence which is combined by individually designed sub sequences corresponding to certain sub intervals. For the time‐invariant case, further results are given along with two periodic access strategies. The equivalence between stochastic observability of the zero order holder (ZOH) inclusive case and that of the non‐ZOH inclusive case is also discussed. Simulations illustrate our conclusion which covers some existing results.