Equivalence and Solutions of Descriptor Linear Systems
G. Duan. Analysis and Design of Descriptor Linear Systems, volume 23 of Advances in Mechanics and Mathematics, chapter 2, Springer, New York, (2010)
DOI: 10.1007/978-1-4419-6397-0\_2
Abstract
Modeling is probably the most basic topic in any system theory. In Sect. 1.1, we introduced the state space representation of descriptor systems which depends very much on the state vector selected. Since there exist different choices of the state vector variables, the state space representation of a given descriptor system is certainly not unique. In normal linear systems theory, this phenomenon has been well described by the concept of algebraic equivalence (see Duan 1996a, 2004a). The purpose of this chapter is to generalize this concept into the case of descriptor linear systems, and based on which to examine some of the basic equivalent structures and the solution of a general descriptor linear system.
%0 Book Section
%1 citeulike:11376970
%A Duan, Guang-Ren
%B Analysis and Design of Descriptor Linear Systems
%C New York
%D 2010
%E Gao, David Y.
%E Ogden, Ray W.
%E Batra, Romesh C.
%E Gao, David Y.
%E Ogden, Ray W.
%E Batra, Romesh C.
%I Springer
%K 93c05-linear-control-systems 34a09-implicit-odes-daes
%P 35--55
%R 10.1007/978-1-4419-6397-0\_2
%T Equivalence and Solutions of Descriptor Linear Systems
%U http://dx.doi.org/10.1007/978-1-4419-6397-0\_2
%V 23
%X Modeling is probably the most basic topic in any system theory. In Sect. 1.1, we introduced the state space representation of descriptor systems which depends very much on the state vector selected. Since there exist different choices of the state vector variables, the state space representation of a given descriptor system is certainly not unique. In normal linear systems theory, this phenomenon has been well described by the concept of algebraic equivalence (see Duan 1996a, 2004a). The purpose of this chapter is to generalize this concept into the case of descriptor linear systems, and based on which to examine some of the basic equivalent structures and the solution of a general descriptor linear system.
%& 2
%@ 978-1-4419-6396-3
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abstract = {{Modeling is probably the most basic topic in any system theory. In Sect. 1.1, we introduced the state space representation of descriptor systems which depends very much on the state vector selected. Since there exist different choices of the state vector variables, the state space representation of a given descriptor system is certainly not unique. In normal linear systems theory, this phenomenon has been well described by the concept of algebraic equivalence (see Duan 1996a, 2004a). The purpose of this chapter is to generalize this concept into the case of descriptor linear systems, and based on which to examine some of the basic equivalent structures and the solution of a general descriptor linear system.}},
added-at = {2017-06-29T07:13:07.000+0200},
address = {New York},
author = {Duan, Guang-Ren},
biburl = {https://www.bibsonomy.org/bibtex/20aa1b89b3d5847135231d36b2ec76008/gdmcbain},
booktitle = {Analysis and Design of Descriptor Linear Systems},
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comment = {(private-note)circulated by mshepit 2012-10-03},
doi = {10.1007/978-1-4419-6397-0\_2},
editor = {Gao, David Y. and Ogden, Ray W. and Batra, Romesh C. and Gao, David Y. and Ogden, Ray W. and Batra, Romesh C.},
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keywords = {93c05-linear-control-systems 34a09-implicit-odes-daes},
pages = {35--55},
posted-at = {2012-10-03 10:36:39},
priority = {2},
publisher = {Springer},
series = {Advances in Mechanics and Mathematics},
timestamp = {2022-05-20T04:25:34.000+0200},
title = {{Equivalence and Solutions of Descriptor Linear Systems}},
url = {http://dx.doi.org/10.1007/978-1-4419-6397-0\_2},
volume = 23,
year = 2010
}