Computational improvement in the calculation of the natural log of a square matrix

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Computational improvement in the calculation of the natural log of a square matrix

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© The Institution of Electrical Engineers
Published

A computational improvement on an algorithm previously derived for the calculation of the natural log of a square matrix is presented, allowing a more general use of the algorithm. This algorithm is useful in estimating the state-space model of a continuous-time multivariable system from data obtained with a discrete-time model.

Inspec keywords: multivariable systems; state estimation; matrix algebra; state-space methods; discrete time systems

Other keywords: square matrix; state-space model; natural log; continuous-time multivariable system; discrete-time model

Subjects: Multivariable control systems; Discrete control systems; Simulation, modelling and identification; Algebra

References

    1. 1)
      • Bingulac, S., Sinha, N.K.: `On the identification of continuous-time multivariable systems from samples of input–output data', Proc. 7th Int. Conf., 1989, Chicago, Mathematical and Computer Modelling.
    2. 2)
      • G.J. Lastman , S.C. Puthenpura , N.K. Sinha . Algorithm for the identification of continuous-time multivariable systems from their discrete-time models. Electron. Lett. , 918 - 919
    3. 3)
      • S.C. Puthenpura , N.K. Sinha . Transformation of continuous-time model of a linear multivariable system from its discrete-time model. Electron. Lett. , 737 - 738
    4. 4)
      • N.K. Sinha , G.J. Lastman . Transformation algorithm for identification of continuous-time multivariable systems from discrete data. Electron. Lett. , 779 - 780
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