Title :
Fractional polynomials and nD systems
Author :
Galkowski, Krzysztof ; Kummert, Anton
Author_Institution :
Inst. of Control & Comput. Eng., Univ. of Zielona Gora, Poland
Abstract :
In this paper, the possibility of employing the 2D, and more generally nD systems approach for the analysis of fractional (more generally real) degree systems in both the commensurate and non-commensurate cases is shown. This approach effects in the significant reduction of a problem overall dimensionality, and in the second case, a 2D approach even opens the possibility of a stability analysis.
Keywords :
multidimensional systems; numerical stability; polynomials; transfer function matrices; 2D systems analysis; commensurate real degree systems; dimensionality reduction; fractional degree systems; fractional polynomials; nD systems; noncommensurate real degree systems; stability analysis; transfer function matrix; Communication system control; Control engineering computing; Control systems; Difference equations; Information analysis; Mathematics; Neodymium; Polynomials; Stability analysis; Transfer functions;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1465018