In this paper, we use the state-space realization of discrete-time descriptor system to solve the inner-outer and spectral factorization problems. The algorithm is based on finding two orthogonal matrices to decompose the pole separated realization of transfer function matrix, to get a stabilizing solution by sloving a algebraic Riccati equation which order usually smaller than the McMillan degree of the transfer function. We give a theorem to discuss the relation of inner-outer and spectral factorization and get the inner-outer factor of the system. Thus, the inner-outer factor is the spectral factor of the system. Finally, a simple numerical example is also illustrated. © Springer-Verlag Berlin Heidelberg 2013.
CITATION STYLE
Liang, L., Xing, W., & Xiang, R. (2013). Using inner-outer factorization to solve the spectral factor of discrete-time descriptor systems. Advances in Intelligent Systems and Computing. Springer Verlag. https://doi.org/10.1007/978-3-642-37502-6_33
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