Szczegóły

Tytuł artykułu

Invariance of reachability and observability for fractional positive linear electrical circuit with delays

Tytuł czasopisma

Archives of Electrical Engineering

Rocznik

2021

Wolumin

vol. 70

Numer

No 3

Afiliacje

Yuan, Tong : Shandong University of Science and Technology, China ; Yang, Hongli : Shandong University of Science and Technology, China

Autorzy

Słowa kluczowe

invariance ; observability ; positive linear electrical circuits with delays ; reachability

Wydział PAN

Nauki Techniczne

Zakres

513-530

Wydawca

Polish Academy of Sciences

Bibliografia

[1] Dorf C.R., Svoboda A.J., Introduction to electric circuits, John Wiley & Sons (2010).
[2] Kaczorek T., Rogowski K., Fractional linear systems and electrical circuit, Springer (2015).
[3] Federico M., Power system modelling and scripting, Springer (2010).
[4] Kaczorek T., Selected problems of fractional systems theory, Springer (2011).
[5] Xin Z., Wenru L. et al., Application of fractional calculus in iterative sliding mode synchronization control, Archives of Electrical Engineering, vol. 69, no. 3, pp. 499–519 (2020).
[6] Piotrowska E., Analysis of linear continuous-time systems by the use of the conformable fractional calculus and Caputo, Archives of Electrical Engineering, vol. 67, no. 3, pp. 629–639 (2018).
[7] Francisco G.A.J., Juan R.G., Fractional RC and LC electrical circuits, Ingeniera, Investigacin y Tecnologa, vol. 15, no. 2, pp. 311–319 (2014).
[8] Sikora R., Fractional derivatives in electrical circuit theory-critical remarks, Archives of Electrical Engineering, vol. 66, no. 1, pp. 155–163 (2017).
[9] Sikora R., Pawłowski S., Problematic Applications of Fractional Derivatives in Electrotechnics and Electrodynamics, Conference on Selected Issues of Electrical Engineering and Electronics, Szczecin, Poland, pp. 1–5 (2018).
[10] Sikora R., Pawłowski S., Fractional derivatives and the laws of electrical engineering, COMPEL-The international journal for computation and mathematics in electrical and electronic engineering, vol. 37, no. 4, pp. 1384–1391 (2018).
[11] Muthana T.A., Mohamed Z., On the control of time delay power systems, International Journal of Innovative Computing, Information and Control, vol. 9, no. 2, pp. 769–792 (2013).
[12] Zhaoyan L., Jun Q., A simple method to compute delay margin of power system with single delay, Automation of Electric Power System, vol. 32, no. 18, pp. 8–13 (2008).
[13] Jianjun Z., Yonggao Z., Research on optimal configuration of fault current limiter based on reliability in large power network, Archives of Electrical Engineering, vol. 69, no. 3, pp. 661–677 (2020).
[14] Kaczorek T., Stability of positive continuous-time linear systems with delays, Bulletin of The Polish Academy of Sciences-technical Sciences, vol. 57, no. 4, pp. 395–398 (2009).
[15] Kaczorek T., Stability tests of positive fractional continuous-time linear systems with delays, TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, vol. 7, no. 2, pp. 211–215 (2013).
[16] Xianming Z., Min W., On delay-dependent stability for linear systems with delay, Journal of Circuit and Systems, vol. 8, no. 3, pp. 118–120 (2003).
[17] Hai Z., Daiyong W., Stability analysis for fractional-order linear singular delay differential systems, Discrete Dynamics in Nature and Society, vol. 2014, no. 2014, pp. 1–8 (2014).
[18] Xianggeng Z., Yuxia L. et al., Stability analysis of fractional-order Langford systems, Journal of Shandong University of Science and Technology (Natural Science), vol. 38, no. 3, pp. 65–71(2019).
[19] Wei J., Zhicheng W., Controllability of singular control systems with delay, Journal of Hunan University, vol. 26, no. 4, pp. 6–9 (1999).
[20] Qiong W., Wei J., The complete controllability, after all controllability, ultimate controllability and quasi controllability of delay control system, College Mathematic, vol. 19, no. 3, pp. 63–66 (2003).
[21] Wei J., The controllability of delay degenerate control systems with independent subsystems, Applied Mathematics and Mechanics, vol. 24, no. 6, pp. 706–713 (2003).
[22] Peng L.,Wenlong W. et al., Alternate Charging and Discharging of Capacitor to Enhance the Electron Production of Bioelectrochemical Systems, Environmental Science and Technology, vol. 45, no. 15, pp. 6647–6653 (2011).
[23] Kaczorek T., Reachability and controllability to zero of positive fractional discrete-time systems, European Control Conference, Kos, Greece, pp. 1708–1712 (2007).
[24] Xindong S., Hongli Y., A new method for judgement computation of stability and stabilization of fractional order positive systems with constraints, Journal of Shandong University of Science and Technology (Natural Science), vol. 40, no. 1, pp. 12–20 (2021).
[25] Kaczorek T., Invariant properties of positive linear electrical circuit, Archives of Electrical Engineering, vol. 68, no. 4, pp. 875–890 (2019).

Data

2021.08.18

Typ

Article

Identyfikator

DOI: 10.24425/aee.2021.137571 ; ISSN: 1427-4221 ; eISSN: 2300-2506
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