JOURNAL OF ELECTRICAL ENGINEERING & TECHNOLOGY, vol.16, no.2, pp.1071-1082, 2021 (SCI-Expanded)
Article / Article
JOURNAL OF ELECTRICAL ENGINEERING & TECHNOLOGY
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC
Commutativity, Time-varying systems, Linear systems, Differential equations, Impulse response, NONLINEAR-SYSTEMS
Ondokuz Mayıs University Affiliated:
In this contribution, the transitivity property of commutative first-order linear time-varying systems with and without initial conditions is investigated. It is proven that transitivity property of first-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 first and second-order linear time-varying systems which are initially relaxed.