The transfer matrix of the standard and fractional linear discrete-time linear systems is investigated. Necessary and sufficient conditions for zeroing of the transfer matrix of the linear discrete-time systems are established. The considerations are illustrated by examples of the standard and fractional linear discrete-time systems.
REFERENCES(28)
1.
Abu-Saris R, Al-Mdallal Q. On the asymptotic stability of linear system of fractional-order difference equations. Fract. Calc. Appl. Anal. 2013; 16: 613-629.
Cermak J, Gyori I, Nechvatal L. On explicit stability conditions for a linear fractional difference system. Fract. Calc. Appl. Anal. 2015; 18: 651-672.
Dörfler F, Coulson J, Markovsky I. Bridging direct & indirect data-driven control formulations via regularizations and relaxations. Trans. Automat. Contr., 2023.
Kaczorek T. Positive linear systems consisting of n subsystems with different fractional orders. IEEE Trans. Circuits and Systems. 2011; 58(6): 1203-1210.
Ostalczyk P. Discrete Fractional Calculus: Applications in Control and Image Processing; Series in Computer Vision, World Scientific Publishing, Hackensack, New York, 2016.
Sajewski Ł. Stabilization of positive descriptor fractional discrete-time linear systems with two different fractional orders by decentralized controller. Bull. Pol. Acad. Sci. Techn. 2017; 65(5): 709-714.
Sun HG, Zhang Y, Baleanu D, Chen W, Chen YQ. A new collection of real world applications of fractional calculus in science and engineering. Commun. Nonlinear Sci. Numer. Simul. 2018; 64: 213-231.
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.