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Transitivity of Commutativity for Linear Time-Varying Physical Systems
Koksal Mehmet Emir 대한전기학회 2021 Journal of Electrical Engineering & Technology Vol.16 No.2
In this contribution, the transitivity property of commutative fi rst-order linear time-varying systems with and without initial conditions is investigated. It is proven that transitivity property of fi rst-order systems holds with and without initial conditions. On the base of impulse response function, transitivity of commutation property is formulated for any triplet of commutative linear time-varying relaxed systems. Transitivity proves are given for some special combinations of fi rst and second-order linear time-varying systems which are initially relaxed.