International Journal of Control · 1982 · 144 citations · 10 references
EngineeringMathematicsSystems EngineeringComplex SystemsDynamical SystemsSystem DynamicsControl Of Dynamical SystemsControl System DesignControl SystemsControl TheoryFeedback ControlMatrix ComputationDescriptor State-space SystemsEigenvalue AlgorithmsPole PlacementPole-zero AnalysisPolesStability Analysis Of Linear SystemsState Feedback ControlSystem Poles
An algorithm is suggested for the computation of a linear state feedback for a single input system such that the resultant closed-loop system has specified eigenvalues. The algorithm is more efficient than many comparable techniques, and has some desirable numerical properties. It is closely related to the QR algorithm for the eigenproblem, and extends to descriptor systems.
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The Algebraic Eigenvalue Problem
E. I., J. H. Wilkinson · Mathematics of Computation · 1966 · 5.2K citations
An Algorithm for Generalized Matrix Eigenvalue Problems
C Moler, G. W. Stewart · SIAM Journal on Numerical Analysis · 1973 · 1.1K citations