A Note on Relative Controllability of Higher Order Linear Delayed Discrete Systems
Josef Diblı́k, Kristýna Mencáková
Abstract
This article is concerned with relative controllability of higher order linear discrete delayed systems with a single delay. By a formula that uses special matrix functions (discrete delayed matrix sine and cosine) to compute the solution of the initial problem, a criterion is found for relative controllability. In terms of special matrix functions, a control function is constructed to solve the problem of relative controllability. It is shown that the transformation of a given system into a higher dimensional system without delays leads to a nonequivalent problem of relative controllability. The results are illustrated by an example.
Topics & Concepts
ControllabilityMathematicsMatrix (chemical analysis)Linear systemControl theory (sociology)Applied mathematicsTransformation (genetics)Order (exchange)Function (biology)Control (management)Mathematical analysisComputer scienceBiochemistryChemistryFinanceMaterials scienceEconomicsBiologyGeneComposite materialArtificial intelligenceEvolutionary biologyStability and Control of Uncertain SystemsMatrix Theory and AlgorithmsAdvanced Queuing Theory Analysis