Minimal state space realisation of product factorable 2-D systems

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Minimal state space realisation of product factorable 2-D systems

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A simple technique is presented for the minimal state space realisation of product factorable two dimensional systems. The application of this method yields the matrices A, b, cT and the scalar d of the two dimensional Givone-Roesser state space model, having minimal dimension.

Inspec keywords: multidimensional systems; state-space methods

Other keywords: minimal state space realisation; two dimensional Givone-Roesser state space model; product factorable 2-D systems; product factorable two dimensional systems; minimal dimension

Subjects: Control system analysis and synthesis methods; Distributed parameter control systems

References

    1. 1)
      • D.D. Givone , R.P. Roesser . Multidimensional linear iterative circuits—general properties. IEEE Trans. , 673 - 677
    2. 2)
      • S.V. Kung , B.C. Levy , M. Morf , T. Kailath . New results in 2-D systems theory Part II: 2-D state space models realization and the notions of controllability observability and minimality. Proc. IEEE. , 945 - 961
    3. 3)
      • S.M. Mitra , A.D. Sagar , N.A. Pentergrass . Realization of 2-D recursive digital filters. IEEE Trans. , 177 - 184
    4. 4)
      • T. Hinamoto , S. Maekawa . Canonic form state space realization of 2-D transfer functions having separable denominator. Int. J. Systems Science , 1083 - 1091
    5. 5)
      • D.S.K. Chan . A simple derivation of minimal and non minimal realizations of 2-D transfer functions. Proc. IEEE , 515 - 516
    6. 6)
      • G.E. Antoniou , S.J. Varoufakis , P.N. Paraskevopoulos . State space realization of 2-D systems via continued fractions expansion. IEEE Trans. , 926 - 930
    7. 7)
      • G.E. Antoniou , S.S. Varoufakis , P.N. Paraskevopoulos . Minimal state space realization of factorable 2-D transfer functions. IEEE Trans. , 1055 - 1058
    8. 8)
      • R. Eising . Low order realizations for transfer functions. Proc. IEEE , 866 - 868
    9. 9)
      • Koo, C.S.: `State space approach to 2-D recursive filtering', 1977, PhD Dissertation, State University of New York, Department of Electrical Engineering, Stony Brook .
    10. 10)
      • S.J. Varoufakis , P.N. Paraskevopoulos , G.E. Antoniou . On the minimal state space realization of all pole and all zero 2-D systems. IEEE Trans. , 289 - 292
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Erratum: Minimal state space realisation of product factorable 2-D systems