Infinite zero structure of polynomial matrix and impulsive modes of polynomial matrix systems

Keywords

Polynomial matrix, Matrix polynomial, Stable polynomial, Mathematics, Companion matrix

References

• Linear System TheoryWilson J. Rugh — 1992
• General theory of regular matrix polynomials and band Toeplitz operatorsIsrael Gohberg, M. A. Kaashoek, Peter Lancaster — 1988
• Vector Spaces of Linearizations for Matrix PolynomialsD. Steven Mackey, Niloufer Mackey, Christian Mehl — 2006
• An improved Toeplitz algorithm for polynomial matrix null-space computationJ.C. Zúñiga Anaya, Didier Henrion — 2009
• Impulsive Mode Elimination for Descriptor Systems by a Structured P-D FeedbackGuoshan Zhang, Wanquan Liu — 2011
• Recovery of Eigenvectors and Minimal Bases of Matrix Polynomials from Generalized Fiedler LinearizationsM.I. Bueno, Fernando De Terán, Froilán M. Dopico — 2011
• Spectral factorization of non-symmetric polynomial matricesJovan Stefanovski — 2006
• SVD-based computation of zeros of polynomial matricesMatthew S. Hölzel, Dennis S. Bernstein — 2011
• Stratification of full rank polynomial matricesStefan Johansson, Bo Kågström, Paul Van Dooren — 2013
• LINEARIZATIONS OF SINGULAR MATRIX POLYNOMIALS AND THE RECOVERY OF MINIMAL INDICESFernando De Terán, Froilán M. Dopico, D. Steven Mackey — 2009
• Fiedler companion linearizations for rectangular matrix polynomialsFernando De Terán, Froilán M. Dopico, D. Steven Mackey — 2012
• Extraction of infinite zeros of polynomial matricesDidier Henrion, JoséR. León, Michael Šebek — 2000
• Detecting infinite zeros in polynomial matricesDidier Henrion, Juan Carlos Zúñiga — 2005
• Linearization of regular matrix polynomialsPeter Lancaster — 2008
• A Toeplitz algorithm for polynomial J-spectral factorizationJuan Carlos Zúñiga, Didier Henrion — 2004

Cited by

• Eigenstructure assignment for polynomial matrix systems ensuring normalization and impulse eliminationPeizhao Yu, Guoshan Zhang — 2019

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