%0 Journal Article %T The poles method for higher-order linear time-varying systems %A SiwczyƄski, Maciej %A Jaraczewski, Marcin %J Technical Transactions %V 2015 %R 10.4467/2353737XCT.15.342.4863 %N Mechanics Issue 4-M (26) 2015 %P 117-122 %K linear systems, time-varying systems %@ 0011-4561 %D 2016 %U https://ejournals.eu/en/journal/czasopismo-techniczne/article/the-poles-method-for-higher-order-linear-time-varying-systems %X In dynamic linear systems described by differential equations with constant parameters, the poles of the rational function (transfer function of the system) play an important role. This article attempts to expand the poles concept in a situation where the system is described by the N-th order linear system with time-varying parameters. It then introduces the concept of characteristic equations and time-dependent poles.