# Controllability and Observability of Boolean Control Networks via Sampled-Data Control

@article{Zhu2019ControllabilityAO, title={Controllability and Observability of Boolean Control Networks via Sampled-Data Control}, author={Qunxi Zhu and Yang Liu and Jianquan Lu and Jinde Cao}, journal={IEEE Transactions on Control of Network Systems}, year={2019}, volume={6}, pages={1291-1301} }

In this paper, the controllability and observability of sampled-data Boolean control networks (SDBCNs) are investigated. New phenomena are observed in the study of the controllability and observability of SDBCNs. We routinely convert SDBCNs into linear discrete-time systems by the semitensor product of matrices. Necessary and sufficient conditions are derived for the controllability of SDBCNs. After that, we combine two SDBCNs with the same transition matrix into a new SDBCN to study the…

## 7 Citations

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### Controllability of Switched Boolean Control Network via Sampled-Data Control

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This paper investigates the controllability of sampled-data switched Boolean control networks (SDSBCNs) with probabilistic switching signal by utilizing the semi-tensor product (STP) method and an interesting phenomenon is observed.

## References

SHOWING 1-10 OF 25 REFERENCES

### Controllability and Observability of Boolean Control Networks With Time-Variant Delays in States

- Mathematics, Computer ScienceIEEE Transactions on Neural Networks and Learning Systems
- 2013

This brief investigates the controllability and observability of Boolean control networks with (not necessarily bounded) time-variant delays in states and splits the system into a finite number of subsystems with no time delays by using the idea of splitting time.

### Further Results on the Controllability of Boolean Control Networks

- Computer ScienceIEEE Transactions on Automatic Control
- 2019

An improved method via combining the well known Tarjan's algorithm and depth-first search technique for the controllability analysis of Boolean control networks (BCNs) is proposed and can be more efficient than the conventional method used in the recent paper.

### Controllability and observability of Boolean control networks

- Mathematics, Computer Science
- 2012

It is shown that the problem of determining whether a BCN is observable or not is NP-hard, and it is suggested that there is no algorithm with polynomial time complexity that solves the observability problem.

### A note on observability of Boolean control networks

- Mathematics, Computer Science2015 10th Asian Control Conference (ASCC)
- 2015

### Controllability of Boolean control networks via the Perron-Frobenius theory

- Mathematics, Computer ScienceAutom.
- 2012

### Input-state incidence matrix of Boolean control networks and its applications

- Mathematics, Computer ScienceSyst. Control. Lett.
- 2010

### Observability, Reconstructibility and State Observers of Boolean Control Networks

- Mathematics, Computer ScienceIEEE Transactions on Automatic Control
- 2013

A complete characterization of observability and reconstructibility properties for Boolean networks and Boolean control networks are provided, based both on the Boolean matrices involved in the network description and on the corresponding digraphs.

### Controllability of Conjunctive Boolean Networks With Application to Gene Regulation

- MathematicsIEEE Transactions on Control of Network Systems
- 2018

The question of how one can steer a CBN to enter any periodic orbit or to reach any final state, from any initial state is asked.

### Preservation of reachability and observability under sampling with a first-order hold

- Mathematics, Computer ScienceIEEE Trans. Autom. Control.
- 1995

This paper gives the necessary and sufficient condition for the reachability of the sampled-data system S/sub 1/ obtained by the discretization of a linear time-invariant continuous-time system with…

### Observability of Boolean Control Networks: A Unified Approach Based on Finite Automata

- MathematicsIEEE Transactions on Automatic Control
- 2016

This technical note proposes a unified approach to determine all the four types of observability of BCNs, and defines the concept of weighted pair graphs for BCNs to transform a BCN to a finite automaton and then use the automaton to determine observability.