New sufficient conditions of global stability of nonlinear positive electrical circuits

• Autorzy: Kaczorek Tadeusz

Identyfikatory

DOI

10.21008/j.1897-0737.2020.103.0001

• Języki publikacji: EN

Abstrakty

EN

The global stability of electrical circuits composed of positive linear parts and nonlinear static element with given characteristic and positive gain feedbacks is investigated. New sufficient conditions for the global stability of this class of nonlinear positive electrical circuits are established. These new stability conditions are demonstrated on simples examples of positive nonlinear electrical circuits.

Słowa kluczowe

EN

global stability; sufficient conditions; positive; nonlinear; electrical; circuit

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Poznan University of Technology Academic Journals. Electrical Engineering
• Rocznik: 2020
• Tom: No. 103
• Strony: 7--14
• Opis fizyczny: Bibliogr. 21 poz., rys.

Twórcy

autor

Kaczorek Tadeusz

• Bialystok University of Technology

Bibliografia

• [1] Berman A., Plemmons R.J., Nonnegative Matrices in the Mathematical Sciences, SIAM, 1994.
• [2] Borawski K., Modification of the stability and positivity of standard and descriptor linear electrical circuits by state feedbacks, Electrical Review, vol. 93, no. 11, 2017, 176–180.
• [3] Busłowicz M., Kaczorek T., Simple conditions for practical stability of positive fractional discrete-time linear systems, Int. J. Appl. Math. Comput. Sci., vol. 19, no. 2, 2009, 263–169.
• [4] Farina L., Rinaldi S., Positive Linear Systems; Theory and Applications, J. Wiley, New York, 2000.
• [5] Kaczorek T., Absolute stability of a class of fractional positive nonlinear systems, Int. J. Appl. Math. Comput. Sci., 2019, vol. 29, no.1, 93–98.
• [6] Kaczorek T., Analysis of positivity and stability of discrete-time and continuous-time nonlinear systems, Computational Problems of Electrical Engineering, vol. 5, no. 1, 2015, 11–16.
• [7] Kaczorek T., Analysis of positivity and stability of fractional discrete-time nonlinear systems, Bull. Pol. Acad. Sci. Techn., vol. 64, no. 3, 2016, 491–494.
• [8] Kaczorek T., Global stability of nonlinear feedback systems with positive linear parts, Intern. J. of Nonlinear Sciences and Numerical Simulation, 2019.
• [9] Kaczorek T., Positive 1D and 2D Systems, Springer-Verlag, London, 2002.
• [10] Kaczorek T., Positive linear systems with different fractional orders, Bull. Pol. Acad. Sci. Techn., vol. 58, no. 3, 2010, 453–458.
• [11] Kaczorek T., Positive linear systems consisting of n subsystems with different fractional orders, IEEE Trans. on Circuits and Systems, vol. 58, no. 7, 2011, 1203–1210.
• [12] Kaczorek T., Positive fractional continuous-time linear systems with singular pencils, Bull. Pol. Acad. Sci. Techn., vol. 60, no. 1, 2012, 9–12.
• [13] Kaczorek T., Selected Problems of Fractional Systems Theory, Springer, Berlin 2011.
• [14] Kaczorek T., Superstabilization of positive linear electrical circuit by state-feedbacks, Bull. Pol. Acad. Sci. Techn., vol. 65, no. 5, 2017, 703–708.
• [15] Kaczorek T., Borawski K., Stability of Positive Nonlinear Systems, 22nd Intern. Conf. Methods and Models in Automation and Robotics, Międzyzdroje, Poland 2017.
• [16] Kaczorek T. and Rogowski K., Fractional Linear Systems and Electrical Circuits, Springer, Cham 2015.
• [17] Kudrewicz J., Ustoicivost nieliniejnych sistem z obratnoj swjazju, Avtomatika i Telemechanika, vol. 25, no. 8, 1964.
• [18] Lyapunov A.M., Obscaja zadaca ob ustoicivosti dvizenija, Gostechizdat, Moskwa, 1963.
• [19] Leipholz H., Stability Theory, New York Academic Press, 1970.
• [20] Mitkowski W., Dynamical properties of Metzler systems, Bull. Pol. Acad. Sci. Techn., vol. 56, no. 4, 2008, 30, 9–312.
• [21] Sajewski L., Stabilization of positive descriptor fractional discrete-time linear systems with two different fractional orders by decentralized controller, Bull. Pol. Acad. Sci. Techn., vol. 65, no.5 , 2017, 709–714.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).