Pinning output tracking control of multi-valued logical networks
SONG Ping-ping
LI Hai-tao
YANG Qi-qi
LIU Yan-sheng
Abstract：This paper investigates the pinning control for the output tracking of multi-valued logical networks by using the algebraic state space representation method, and presents some new results. First, the dynamics of multi-valued logical networks with pinning control is converted to an algebraic form via the semi-tensor product of matrices. Second, based on the algebraic form, a series of proper reachable sets is defined for multi-valued logical networks, and a constructive procedure is proposed to design pinning output tracking controllers of multi-valued logical networks. Third, using the property of multi-valued dummy operator, a necessary and sufficient condition is presented for the solvability of distributed output tracking control of multi-valued logical networks. Finally, the obtained new results are applied to the evolutionary behavior analysis of networked evolutionary games.
Keywords：multi-valued logical networkpinning controloutput trackingdistributed control systemssemi-tensor product of matrices
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 1200-1206 )