State-space Realisations of Linear 2-D Systems with Extensions to the General nD (n > 2) case

• Main Author: Galkowski, Krzysztof (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2001.
• Edition: 1st ed. 2001.
• Series: Lecture Notes in Control and Information Sciences, 263
• Subjects: Control engineering.; Control and Systems Theory.

 This book demonstrates the newly developed Elementary Operations Algorithm (EOA). This is a systematic method for constructing a range of state-space realizations for 2-D systems. The key achievements of the monograph are as follows: - It provides a research-level introduction to the general area and undertakes a comparative critical review of previous approaches. - It gives a thorough coverage of the theoretical basis of the EOA algorithm. - It demonstrates the effectiveness of the EOA algorithm, for example, through the use of algebraic symbolic computing (using MAPLE), as well as by comparing this method with common alternatives. 

 Preliminaries -- The elementary operation algorithm for polynomial matrices -- 2D state-space realizations and the elementary operation algorithm - Single input - Single output (SISO) case -- MIMO systems - the 1D case -- Multiple-input, multiple-output (MIMO) systems - the 2D case -- The elementary operation approach extensions -- State-space realizations for 2D/nD systems revisited - Relations to the EOA -- Conclusions and further work.