Analysis of linear random dynamical systems with variable coefficient

• Autorzy: Mazurkiewicz S. , Walczak J.
• Języki publikacji: EN

Abstrakty

EN

In the article a linear model of n-th order dynamical systems described by the state equation with variable coefficients is considered. This model is analysed for a random initial condition and a random force. The method of determining the probabilistic characteristics of a stochastic process, which is the solution of that equation, is shown.

Słowa kluczowe

EN

moments of stochastic processes; LTV system

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Computer Applications in Electrical Engineering
• Rocznik: 2014
• Tom: Vol. 12
• Strony: 38--44
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Mazurkiewicz S.

• Silesian University of Technology 44-100 Gliwice, ul. Bolesława Krzywoustego 2

autor

Walczak J.

• Silesian University of Technology 44-100 Gliwice, ul. Bolesława Krzywoustego 2

Bibliografia

• [1] Allison A., Abbot D.: Applications Of Stochastic Differential Equations In Electronics, AIP Conf. Proc. 800, 15 (2005), pp 15-23.
• [2] Baake M., Schlaegel U.: The Peano-Baker series, ArXiv e-prints, November 2010, 1011.1775.
• [3] Brancik, L. ; Kolarova, E.: Stochastic differential equations approach in the analysis of MTLs with randomly varied parameters, Electronics, Circuits and Systems (ICECS), 2012 19th IEEE International Conference on, pp. 725 - 728.
• [4] Grabowski D.: Moments of Stochastic Power Processes for Basic Linear Elements, Int. Conf. of Fundamentals of Electrotechnics and Circuit Theory, IC-SPETO 2009, pp. 83-84.
• [5] Kadlecova E., Kubasek R., Kolarova E.: RL Circuits Modeling with Noisy Parameters, Conf. on Applied Electronics, Pilsen 6-7 Sept. 2006, pp. 217-220.
• [6] Kolarova E.: An Application of Stochastic Differential Equations in Second-Order Electrical Circuits Analysis, Przeglad Elektrotechniczny, R. 88 NR 7a/2012, pp 103-107.
• [7] Kolarova E.: An Application of Stochastic Integral Equations to Electrical Networks, Acta Electrotechnica et Informatica, Vol. 8, No. 3, 2008, pp. 14-17.
• [8] Mazurkiewicz S., Walczak J.: Linear dynamical systems of the n-th order in random conditions. Journal of Computional Problems of Electrical Engineering, Ukraine 2014, Vol. 3, No. 2, pp. 61-66 .
• [9] Skowronek K.: Obwody elektryczne w ujęciu stochastycznym, Monografia. Wyd. Pol. Pozn., Poznań 2011.
• [10] Skowronek K.: Przewód o indukcyjności losowej, materiały konferencyjne XXXVI IC-SPET 2013, pp 25-26.
• [11] Socha L .: Równania momentów w stochastycznych układach dynamicznych, PWN, Warszawa 1993.
• [12] Soong T. T.: Random Differential Equations in Science and Engineering, Math. in Science and Eng., Vol. 103, Academic Press, New York 1973.
• [13] Swiesznikow A. A.: Podstawowe metody funkcji losowych, WNT, Warszawa 1965.