Optimal control of switched singular Boolean control networks with state and input constraints
DENG Lei
GONG Meng-meng
ZHU Pei-yong
Abstract：In the present paper,the optimal control problem of switched singular Boolean control networks(SSBCNs) with state and input constraints is investigated.By using the semi-tenser product of matrices,the parallel constrained algebraic form is obtained for constrained SSBCNs.Then a necessary condition for the existence of optimal control is presented by using an analogous needle variation.An algorithm is proposed to design the proper switching sequence and control strategy which maximizes the cost functional at a fixed termination time.Finally,a numerical example is given to show that the new results obtained in this paper are very effective.
Keywords：switched singular Boolean control networkstate and input constraintsoptimal controlsemi-tensor product
Publication Date：2018-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 299-307 )