Titlebook: Computational Aspects of Linear Control; Claude Brezinski Book 20021st edition Kluwer Academic Publishers 2002 approximation.approximation

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Transform Inversion,In this Chapter, we will present some methods for the numerical inversion of the Laplace transform. We will also discuss the inversion of the .-transform which can be considered as the discrete analog of the Laplace transform.

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Linear Algebra Issues,The aim of this Chapter is to present some issues of numerical linear algebra which are relevant to control problems.

Mawkish

Systems of Linear Algebraic Equations,We consider the . × . system of linear equations. and restrict ourselves to real systems, the case of complex ones being an easy extension.

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Appendix: The Mathematics of Model Reduction,In this Chapter, we do not intend to present new algorithms for model reduction but to throw some light on the mathematics behind projection techniques which are currently used for that purpose. In this respect, what follows can be considered as a continuation of [14, 15, 17] and the literature quoted in these papers.

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Numerical Methods and Algorithmshttp://image.papertrans.cn/c/image/232118.jpg

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Morteza A. M. Torkamani,Ahmad K. Ahmadigiven in [83] where the techniques relevant to linear algebra can be found, and the article on control theory in [49, vol. 1, art. 86]. We also refer to the encyclopedic volume [66], where most of the topics covered in this Chapter are represented. There exist an enormous literature on control theor