Observability of switched Boolean control networks using algebraic forms
Yvjing Yang, Yang Liu, Jungang Lou, Zhen Wang
Abstract
<p style='text-indent:20px;'>This paper addresses the observability of a switched Boolean control network (SBCN) using semi-tensor product (STP) of matrices. First, the observability of the SBCN is determined under desirable switching signals and arbitrary switching signals by encoding the switching signal as a boolean input. Then an algorithm is designed for determining the observability. Furthermore, feedback control laws are obtained to guarantee the observability of SBCNs. Examples and corresponding state trajectory graphs are given to illustrate the effectiveness of the given results.
Topics & Concepts
ObservabilityState (computer science)Algebraic numberBoolean networkProduct (mathematics)TrajectoryEncoding (memory)Boolean functionComputer scienceControl (management)MathematicsControl theory (sociology)Discrete mathematicsAlgorithmApplied mathematicsArtificial intelligenceMathematical analysisAstronomyGeometryPhysicsGene Regulatory Network AnalysisMitochondrial Function and PathologyBacterial Genetics and Biotechnology