Open AccessOutput controllability and observability of mix-valued logic control networks
Author(s) -
Yuyang Zhao,
Yang Liu
Publication year - 2021
Publication title -
mathematical modelling and control
Language(s) - English
Resource type - Journals
ISSN - 2767-8946
DOI - 10.3934/mmc.2021013
Subject(s) - controllability , observability , control theory (sociology) , matrix (chemical analysis) , mathematics , state (computer science) , network controllability , control (management) , product (mathematics) , set (abstract data type) , computer science , topology (electrical circuits) , algorithm , artificial intelligence , combinatorics , composite material , programming language , materials science , geometry , betweenness centrality , centrality
This paper focuses on output controllability and observability of mix-valued logic control networks (MLCNs), of which the updating of outputs is determined by both inputs and states via logical rules. First, as for output controllability, the number of different control sequences are derived to steer a MLCN from a given initial state to a destination output in a given number of time steps via semi-tensor product method. By construsting the output controllability matrix, criteria for the output controllability are obtained. Second, to solve the problem of observability, we construct an augmented MLCN with the same transition matrix, and use the set controllability approach to determine the observability of MLCNs. Finally, a hydrogeological example is presented to verify the obtained results.