B1 Non-refereed article in a scientific journal
Controllability and Observability of Boolean Control Networks With Time-Variant Delays in States
Authors: Lijun Zhang, Kuize Zhang
Publisher: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Publishing place: PISCATAWAY; 445 HOES LANE, PISCATAWAY, NJ 08855-4141 USA
Publication year: 2013
Journal: IEEE Transactions on Neural Networks and Learning Systems
Journal name in source: Ieee Transactions on Neural Networks and Learning Systems
Journal acronym: IEEE Trans.Neural Netw.Learn.Syst.
Number in series: 9
Volume: 24
Issue: 9
First page : 1478
Last page: 1484
Number of pages: 8
ISSN: 2162-237X
DOI: https://doi.org/10.1109/TNNLS.2013.2246187
Abstract
This brief investigates the controllability and observability of Boolean control networks with (not necessarily bounded) time-variant delays in states. After a brief introduction to converting a Boolean control network to an equivalent discrete-time bilinear dynamical system via the semi-tensor product of matrices, the system is split into a finite number of subsystems (constructed forest) with no time delays by using the idea of splitting time that is proposed in this brief. Then, the controllability and observability of the system are investigated by verifying any so-called controllability constructed path and any so-called observability constructed paths in the above forest, respectively, which generalize some recent relevant results. Matrix test criteria for the controllability and observability are given. The corresponding control design algorithms based on the controllability theorems are given. We also show that the computing complexity of our algorithm is much less than that of the existing algorithms.
This brief investigates the controllability and observability of Boolean control networks with (not necessarily bounded) time-variant delays in states. After a brief introduction to converting a Boolean control network to an equivalent discrete-time bilinear dynamical system via the semi-tensor product of matrices, the system is split into a finite number of subsystems (constructed forest) with no time delays by using the idea of splitting time that is proposed in this brief. Then, the controllability and observability of the system are investigated by verifying any so-called controllability constructed path and any so-called observability constructed paths in the above forest, respectively, which generalize some recent relevant results. Matrix test criteria for the controllability and observability are given. The corresponding control design algorithms based on the controllability theorems are given. We also show that the computing complexity of our algorithm is much less than that of the existing algorithms.
UTU Research Portal