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

作者:

Highlights:

• A kind of constrained set controllability matrix is constructed, based on which a necessary and sufficient condition is presented for the constrained set controllability of logical control networks (LCNs) with state constraints.

• Using the constrained set controllability approach, some new necessary and sufficient conditions are proposed for the partial stabilization, output tracking, output synchronization, and observability of LCNs.

• Compared with the existing results, the constrained set controllability approach does not need to find a subset, and thus is more easily verified. All the matrix-based conditions of this paper are convenient to check through MATLAB toolbox.

摘要

•A kind of constrained set controllability matrix is constructed, based on which a necessary and sufficient condition is presented for the constrained set controllability of logical control networks (LCNs) with state constraints.•Using the constrained set controllability approach, some new necessary and sufficient conditions are proposed for the partial stabilization, output tracking, output synchronization, and observability of LCNs.•Compared with the existing results, the constrained set controllability approach does not need to find a subset, and thus is more easily verified. All the matrix-based conditions of this paper are convenient to check through MATLAB toolbox.

论文关键词:Logical control networks,Set controllability,State constraints,Observability

论文评审过程:Received 3 December 2020, Revised 1 March 2021, Accepted 5 April 2021, Available online 15 April 2021, Version of Record 15 April 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126259