Controllability and observability of switched Boolean control networks
| Autor: | Lequn Zhang, Juan Yao, Jun-e Feng |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Class (set theory)
Control and Optimization Computer Science Applications Human-Computer Interaction Controllability Matrix (mathematics) Control and Systems Engineering Complete information Control theory Product (mathematics) Point (geometry) Observability Electrical and Electronic Engineering Control (linguistics) Mathematics |
| Zdroj: | IET Control Theory & Applications. 6:2477-2484 |
| ISSN: | 1751-8652 1751-8644 |
| DOI: | 10.1049/iet-cta.2012.0362 |
| Popis: | The controllability and observability are investigated for a class of switched Boolean control networks (SBCNs). Using semi-tensor product of matrices, the dynamics of an SBCN can be transformed into an algebraic form. The model-input-state (MIS) matrix of an SBCN is introduced and studied for the first time. This matrix contains complete information of the MIS mapping. A necessary and sufficient condition for the controllability of SBCN is obtained. The corresponding control and switching law, which drive a point to a given reachable point are designed. A sufficient condition for the observability of an SBCN is given. Moreover, under the assumption of controllability, one necessary and sufficient condition is derived for the observability. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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