Title: | Evaluation of the reachability subspace of general form polynomial matrix descriptions (PMDs) (English) |

Author: | Fragulis, G. F. |

Author: | Vardulakis, A. I. G. |

Language: | English |

Journal: | Kybernetika |

ISSN: | 0023-5954 |

Volume: | 30 |

Issue: | 6 |

Year: | 1994 |

Pages: | 617-628 |

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Category: | math |

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MSC: | 93B03 |

MSC: | 93B05 |

MSC: | 93B25 |

MSC: | 93C05 |

MSC: | 93C35 |

idZBL: | Zbl 0829.93014 |

idMR: | MR1323664 |

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Date available: | 2009-09-24T18:51:38Z |

Last updated: | 2012-06-06 |

Stable URL: | http://hdl.handle.net/10338.dmlcz/125481 |

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Reference: | [1] S. L. Cambell C. D. Meyer, N. Rose: Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients.SIAM J. Appl. Math. 31 (1976), 3, 411-425. MR 0431636 |

Reference: | [2] D. Cobb: Descriptor Variable and Generalized Singularly Pertubed Systems: A Geometric Approach.Ph.D. Dissertation, Dept. of Electrical Engineering, Univ. of Illinois 1980. |

Reference: | [3] D. Cobb: Feedback and pole placement in descriptor-variable systems.Internat. J. Control 33 (1981), 6, 1135-1146. Zbl 0464.93039, MR 0624176 |

Reference: | [4] D. Cobb: Controllability, observability, and duality in singular systems.IEEE Trans. Automat. Control AC-29 (1984), 12, 1076-1082. MR 0771396 |

Reference: | [5] D. Cobb: On the solution of linear differential equations with singular coefficients.J. Differential Equations 46 (1982), 310-323. MR 0681226 |

Reference: | [6] G. F. Fragulis: A closed formula for the determination of the impulsive solutions of linear homogeneneous matrix differential equations.IEEE Trans. Automat. Control AC-38 (1993), 11, 1688-1695. MR 1250043 |

Reference: | [7] G. F. Fragulis: Analysis of Generalized Singular Systems.Ph.D. Dissertation, Department of Mathematics, Aristotle Univ. of Thessaloniki 1990. |

Reference: | [8] K. Ozcaldiran: Control of Descriptor Systems.Ph.D. Dissertation, School of Electrical Engineering, Georgia Institute of Technology, Atlanta, GA 1985. |

Reference: | [9] A. I. G. Vardulakis: Linear Multivariable Control: Algebraic Analysis and Synthesis Methods.Wiley, New York 1991. Zbl 0751.93002, MR 1104222 |

Reference: | [10] A. I. G. Vardulakis, G. F. Fragulis: Infinite elementary divisors of polynomial matrices and impulsive solutions of linear homogeneous matrix differential equations.Circuits Systems Signal Process. 8 (1989), 3, 357-373. Zbl 0678.34002, MR 1015177 |

Reference: | [11] E. Yip, R. Sincovec: Solvability, controllability, and observability of continuous descriptor systems.IEEE Trans. Automat. Control AC-26 (1981), 3, 702-707. Zbl 0482.93013, MR 0630799 |

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