Output controllability and observability of mix-valued logic control networks
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 stee...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-08-01
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| Series: | Mathematical Modelling and Control |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mmc.2021013?viewType=HTML |
| _version_ | 1818536162357149696 |
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| author | Yuyang Zhao Yang Liu |
| author_facet | Yuyang Zhao Yang Liu |
| author_sort | Yuyang Zhao |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T18:34:23Z |
| format | Article |
| id | doaj.art-5303442bdb0d4b6ba451b31b6faba5ae |
| institution | Directory Open Access Journal |
| issn | 2767-8946 |
| language | English |
| last_indexed | 2024-12-11T18:34:23Z |
| publishDate | 2021-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Modelling and Control |
| spelling | doaj.art-5303442bdb0d4b6ba451b31b6faba5ae2022-12-22T00:54:49ZengAIMS PressMathematical Modelling and Control2767-89462021-08-011314515610.3934/mmc.2021013Output controllability and observability of mix-valued logic control networksYuyang Zhao 0Yang Liu1College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, ChinaCollege of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, ChinaThis 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.https://www.aimspress.com/article/doi/10.3934/mmc.2021013?viewType=HTMLm-valued logic control networksoutput controllabilityobservabilitysemi-tensor product |
| spellingShingle | Yuyang Zhao Yang Liu Output controllability and observability of mix-valued logic control networks Mathematical Modelling and Control m-valued logic control networks output controllability observability semi-tensor product |
| title | Output controllability and observability of mix-valued logic control networks |
| title_full | Output controllability and observability of mix-valued logic control networks |
| title_fullStr | Output controllability and observability of mix-valued logic control networks |
| title_full_unstemmed | Output controllability and observability of mix-valued logic control networks |
| title_short | Output controllability and observability of mix-valued logic control networks |
| title_sort | output controllability and observability of mix valued logic control networks |
| topic | m-valued logic control networks output controllability observability semi-tensor product |
| url | https://www.aimspress.com/article/doi/10.3934/mmc.2021013?viewType=HTML |
| work_keys_str_mv | AT yuyangzhao outputcontrollabilityandobservabilityofmixvaluedlogiccontrolnetworks AT yangliu outputcontrollabilityandobservabilityofmixvaluedlogiccontrolnetworks |