Partial Eigenvalue Assignment for Gyroscopic Second-Order Systems with Time Delay
Hao Liu, Ranran Li, Yingying Ding
Abstract
In this paper, the partial eigenvalue assignment problem of gyroscopic second-order systems with time delay is considered. We propose a multi-step method for solving this problem in which the undesired eigenvalues are moved to desired values and the remaining eigenvalues are required to remain unchanged. Using the matrix vectorization and Hadamard product, we transform this problem into a linear systems of lower order, and analysis the computational costs of our method. Numerical results exhibit the efficiency of our method.
Topics & Concepts
Eigenvalues and eigenvectorsVectorization (mathematics)Order (exchange)MathematicsApplied mathematicsGyroscopeHadamard transformProduct (mathematics)Kronecker productMatrix (chemical analysis)AlgorithmMathematical optimizationComputer scienceMathematical analysisGeometryEngineeringPhysicsParallel computingKronecker deltaAerospace engineeringFinanceComposite materialEconomicsMaterials scienceQuantum mechanicsMatrix Theory and AlgorithmsNumerical methods for differential equationsMagnetic Bearings and Levitation Dynamics