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 language | English (US) |
|---|---|
| Article number | 6832557 |
| Pages (from-to) | 806-811 |
| Number of pages | 6 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 60 |
| Issue number | 3 |
| DOIs | |
| State | Published - 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