Title :
Stability of linear time invariant systems with interval fractional orders and interval coefficients
Author :
Petras, Ivo ; Chen, YangQuan ; Vinagre, Blas M. ; Podlubny, Igor
Author_Institution :
Dept. of Informatics & Process Control, Kosice Univ.
Abstract :
This paper considers the stability of the fractional-order linear time-invariant systems with interval type uncertainties in both fractional orders and the relevant coefficients. It is an extension of our previous result on the robust stability analysis of the interval type uncertain fractional order LTI systems with crisply known fractional orders. We have proposed a stability check procedure for uncertain LTI systems with interval fractional orders and interval coefficients. The procedure is demonstrated with some simple examples
Keywords :
linear systems; stability; uncertain systems; LTI system; fractional order dynamic system; interval coefficients; interval fractional orders; interval type uncertainties; linear time invariant system; robust stability analysis; uncertain system; Differential equations; Informatics; Polynomials; Proportional control; Robust stability; Robustness; Stability analysis; System testing; Time invariant systems; Uncertainty;
Conference_Titel :
Computational Cybernetics, 2004. ICCC 2004. Second IEEE International Conference on
Conference_Location :
Vienna
Print_ISBN :
0-7803-8588-8
DOI :
10.1109/ICCCYB.2004.1437745