Necessary and Sufficient Conditions for Containment in Fractional-Order Multiagent Systems via Sampled Data
Yifan Liu, Housheng Su
Abstract
The containment control problem in fractional-order multiagent systems over a directed graph is studied in this article. Two distributed control protocols with or without time delays are designed by utilizing the sampled position and velocity data. Then, based on the knowledge of the matrix theory and Laplace transform, some necessary and sufficient conditions to reach containment are derived. For the protocol with time delays, similar sufficient and necessary conditions are obtained. Finally, some simulation examples are designed to verify that the theorems are correct.
Topics & Concepts
Containment (computer programming)Laplace transformProtocol (science)Computer scienceControl theory (sociology)GraphPosition (finance)Multi-agent systemGraph theoryOrder (exchange)Control (management)MathematicsMathematical optimizationTheoretical computer scienceArtificial intelligenceMathematical analysisCombinatoricsAlternative medicineMedicineEconomicsPathologyFinanceProgramming languageDistributed Control Multi-Agent SystemsNeural Networks Stability and SynchronizationMathematical and Theoretical Epidemiology and Ecology Models