Algorithm of J-spectral factorization of polynomial matrices |
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| Authors: | Fikret A Aliev Vladimir B Larin |
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| Affiliation: | ?Institute of Applied Mathematics, Baku State University M. Rasulzadeh Z. Khalilov st.23, 370148 Baku, Azerbaijan;?Institute of Mechanics Acad. of Sci. Nesterov st.3, Kiev 252180, Ukraine |
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| Abstract: | Numerical algorithms for the canonical J-factorization of polynomial matrices with respect to the imaginary axis are given. The factorization problems for the non-regular polynomial matrices and for polynomials, whose determinants have zero roots, are considered. The constructed algorithms are not connected to the finding of roots of the polynomial. The basic calculation procedure is the construction of the stabilizing solution of the matrix algebraic Riccati equation. |
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| Keywords: | H∞ -optimal control robust control Wiener-Hopf approach canonical factorization |
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