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Extended power method and stability of linear discrete-time systems

Extended power method and stability of linear discrete-time systems

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A computationally simple and efficient method is proposed to determine the stability of linear discrete-time systems. The method directly utilises the system (state-transition) matrix and avoids the evaluation of the characteristic polynomial. Another interesting feature of this approach is that it can be extended to extract the eigenvalues of matrices, in a recursive fashion.

References

    1. 1)
      • S. Puthenpura , N.K. Sinha , B.P. Mohanty . Stability of linear discrete-time system. Electron. Lett. , 432 - 434
    2. 2)
      • G. Williams . (1984) , Linear algebra with applications.
    3. 3)
      • A.C. Aitken . On Bernoulli's solution of algebraic equations. Proc. Royal Soc. A , 289 - 305
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