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Method for constructing frobenius canonical forms of linear nonstationary observation systems

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Abstract

We suggest an algorithm for constructing canonical forms of linear nonstationary observation systems with scalar output. The algorithm is based on the quasidifferentiability of the coefficients.

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References

  1. Astrovskii, A.I. and Gaishun, I.V., Quasidifferentiability and Observability of Linear Nonstationary Systems, Differ. Uravn., 2009, vol. 45, no. 11, pp. 1567–1576.

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  2. Astrovskii, A.I. and Gaishun, I.V., Quasidifferentiability and Canonical Forms of Linear Nonstationary Observation Systems, Differ. Uravn., 2010, vol. 46, no. 3, pp. 423–431.

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  3. Gaishun, I.V., Vvedenie v teoriyu lineinykh nestatsionarnykh sistem (Introduction to the Theory of Linear Nonstationary Systems), Moscow, 2004.

  4. Derr, V.Ya., Nonoscillation of Solutions of a Linear Quasidifferential Equation, Izv. Inst. Mat. Inform., Izhevsk: Udmurt. Gos. Univ, 1999, vol. 1(16), pp. 3–105.

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Authors and Affiliations

  1. Belarus State Economic University, Minsk, Belarus

    A. I. Astrovskii & I. V. Gaishun

Authors
  1. A. I. Astrovskii
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  2. I. V. Gaishun
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Original Russian Text © A.I. Astrovskii, I.V. Gaishun, 2010, published in Differentsial’nye Uravneniya, 2010, Vol. 46, No. 10, pp. 1479–1487.

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Astrovskii, A.I., Gaishun, I.V. Method for constructing frobenius canonical forms of linear nonstationary observation systems. Diff Equat 46, 1482–1490 (2010). https://doi.org/10.1134/S0012266110100125

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  • DOI: https://doi.org/10.1134/S0012266110100125

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