Stabilization, controllability and optimal control of Boolean networks with impulsive effects and state constraints

Hao Chen, Xingde Li, Jitao Sun

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Article number6832557
Pages (from-to)806-811
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume60
Issue number3
DOIs
StatePublished - Mar 1 2015

Keywords

  • Boolean networks
  • controllability
  • impulse
  • optimal control
  • semi-tensor product
  • state constraints

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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