# Observability of Boolean control networks

@article{Zhu2017ObservabilityOB, title={Observability of Boolean control networks}, author={Qunxi Zhu and Yang Liu and Jianquan Lu and Jinde Cao}, journal={Science China Information Sciences}, year={2017}, volume={61}, pages={1-12} }

We show some new results on the observability of Boolean control networks (BCNs). First, to study the observability, we combine two BCNs with the same transition matrix into a new BCN. Then, we propose the concept of a reachable set that results in a given set of initial states, and we derive four additional necessary and sufficient conditions for the observability of BCNs. In addition, we present an algorithm and construct an observability graph to determine the observability of BCNs. Finally…

## 43 Citations

### Observability of Singular Boolean Control Networks

- Mathematics2019 Chinese Control Conference (CCC)
- 2019

Four types of observability of singular Boolean control networks (SBCNs), are introduced and investigated in this paper and two numerical examples are shown to demonstrate the effectiveness of the theoretical results.

### Detectability of Boolean Control Networks

- MathematicsDiscrete-Time and Discrete-Space Dynamical Systems
- 2019

In Chap. 4, we discuss observability of Boolean control networks (BCNs). Intuitively, a BCN is observable if one can use an input sequence and the corresponding output sequence to determine the…

### A note on observability of switched Boolean control networks

- Mathematics2019 Chinese Control Conference (CCC)
- 2019

Four types of observability of switched Boolean control networks are proposed for the first time and described to describe outputs driven from different input sequences, switching signals and initial states.

### Controllability and observability of state‐dependent switched Boolean control networks with input constraints

- MathematicsAsian Journal of Control
- 2019

This paper investigates the controllability and observability of state‐dependent switched Boolean control networks (SDSBCNs) with input constraints. First, the algebraic form of SDSBCNs is derived…

### Further results on dynamic-algebraic Boolean control networks

- MathematicsScience China Information Sciences
- 2018

Restricted coordinate transformation, controllability, observability and topological structures of dynamic-algebraic Boolean control networks are investigated under an assumption that the subsequent state is certain or does not exist.

### Minimal observability of Boolean networks

- MathematicsScience China Information Sciences
- 2022

In this study, the minimum observability of Boolean networks (BNs) is investigated by using the semi-tensor product (STP) of matrices. First, a new system based on the considered BN is obtained to…

### Sampled-data stabilization of probabilistic Boolean control networks

- Computer Science, MathematicsSyst. Control. Lett.
- 2019

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