Abstract
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.
The original version of this chapter was revised: The chapter was retracted as it contains striking level of similarity in the layout and content of this paper with another publication. The erratum to this chapter is available at DOI: 10.1007/978-3-642-37502-6_148
An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-3-642-37502-6_148
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Acknowledgments
The Project is sponsored by “Liaoning BaiQianWan Talents Program”.
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Liang, L., Xing, W., Xiang, R. (2013). RETRACTED CHAPTER: Using Inner-Outer Factorization to Solve the Spectral Factor of Discrete-Time Descriptor Systems. In: Yin, Z., Pan, L., Fang, X. (eds) Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013. Advances in Intelligent Systems and Computing, vol 212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37502-6_33
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DOI: https://doi.org/10.1007/978-3-642-37502-6_33
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