Stabilization, Controllability and Optimal Control of Boolean Networks With Impulsive Effects and State Constraints

Author

Hao Chen ; Xingde Li ; Jitao Sun

Author_Institution

Dept. of Math., Tongji Univ., Shanghai, China

Volume

60

Issue

3

fYear

2015

fDate

Mar-15

Firstpage

806

Lastpage

811

Abstract

The present note investigates the stabilization, controllability and optimal control problem of Boolean networks with impulsive effects and state constraints. By using the semi-tensor product method, the algebraic form of the Boolean networks with impulsive effects and state constraints is derived. The stabilization and controllability issues of the systems are investigated and some necessary and sufficient conditions are obtained. In addition, the Mayer-type optimal control problem is also studied and algorithms are provided to design the control sequence. Furthermore, examples are given to illustrate the main results.

Keywords

Boolean algebra; control system synthesis; controllability; optimal control; stability; tensors; Mayer-type optimal control problem; algebraic Boolean network form; control sequence design; controllability; impulsive effects; necessary-and-sufficient conditions; semitensor product method; stabilization; state constraints; Artificial neural networks; Controllability; Indexes; Optimal control; Sun; Vectors; Boolean networks; controllability; impulse; optimal control; semi-tensor product; state constraints;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2014.2330432

Filename

6832557