Abstract
A tutorial introduction is given to some parallel algorithms for certain computational problems arising in state-space-based modeling in control engineering. The need for parallel algorithms is motivated by considering computations derived from state-space models involving high-dimensional matrices. Such models occur frequently in, for example, finite element modeling and are typically in so-called second-order form. Specific problems addressed in this paper and used for illustrative purposes include the solution of linear systems of equations, calculation of multivariable frequency response matrices from state-space data, and the solution of algebraic Riccati equations. Parallel algorithm implementations are described for a 32 processor Intel iPSC Hypercube.Keywordsparallel algorithmscontrol theorycontrol engineeringhypercubemultiprocessorsnumerical analysissecond-order systemsfrequency responseRiccati equations
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