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Linear conformable differential system and its controllability

Awais Younas, Thabet Abdeljawad, Rida Batool, Anum Zehra, Manar A. Alqudah

2020Advances in Difference Equations21 citationsDOIOpen Access PDF

Abstract

Abstract This article deals with the sequential conformable linear equations. We have focused on the solution techniques of these equations and particularly on the controllability conditions of the time-invariant system. For the controllability conditions and results, we have defined the conformable controllability Gramian matrix, the conformable fundamental matrix, and the conformable controllability matrix.

Topics & Concepts

Conformable matrixControllabilityControllability GramianGramian matrixMathematicsLinear systemMatrix (chemical analysis)Partial differential equationMathematical analysisApplied mathematicsTopology (electrical circuits)Control theory (sociology)Computer scienceEigenvalues and eigenvectorsPhysicsArtificial intelligenceCombinatoricsMaterials scienceComposite materialControl (management)Quantum mechanicsMatrix Theory and AlgorithmsNumerical methods for differential equationsNonlinear Waves and Solitons
Linear conformable differential system and its controllability | Litcius