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Solution of the discrete regulator problem using the sign matrix function

Solution of the discrete regulator problem using the sign matrix function

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The sign matrix function algorithm is used to solve the discrete Riccati equation which arises in the optimisation problem of the discrete regulator with quadratic cost criterion.

References

    1. 1)
      • Y. Bar-Ness . The discrete regulator as an eigenvalue problem. Isr. J. Technol. , 265 - 269
    2. 2)
      • J.D. Roberts . Linear model reduction and solution of the algebraic equation by use of sign function.
    3. 3)
      • Y. Bar-Ness . Sufficient conditions for the solution or the discrete infinitive-time, linear regulator. Int. J. Control , 335 - 343
    4. 4)
      • F.R. Gantmacher . (1959) , The theory of matrices.
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