Constrained set controllability of logical control networks with state constraints and its applications

Yalu Li, Haitao Li and Yuanyuan Li

Applied Mathematics and Computation, 2021, vol. 405, issue C

Abstract: State constraints are very common in actual networked systems. The main purpose of this article is to investigate the constrained set controllability of k-valued logical control networks (KVLCNs), the states of which are within a finite set. At first, the dynamics of KVLCNs with state constraints (SC-KVLCNs) can be equivalently written as an bilinear system by applying algebraic state space representation approach. After that, a method is presented to construct a kind of constrained set controllability matrix, based on which, a criterion is put forward to solve the constrained set controllability problem of KVLCNs. In addition, the constrained set controllability is applied to the partial stabilization, output tracking, output synchronization and observability of SC-KVLCNs. Finally, to implement the main results of this article, three examples are given.

Keywords: Logical control networks; Set controllability; State constraints; Observability (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300321003489
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:405:y:2021:i:c:s0096300321003489

DOI: 10.1016/j.amc.2021.126259

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().