Transitivity of Commutativity for Linear Time-Varying Physical Systems
JOURNAL OF ELECTRICAL ENGINEERING & TECHNOLOGY, vol.16, no.2, pp.1071-1082, 2021 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 16 Issue: 2
- Publication Date: 2021
- Doi Number: 10.1007/s42835-020-00609-0
- Journal Name: JOURNAL OF ELECTRICAL ENGINEERING & TECHNOLOGY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC
- Page Numbers: pp.1071-1082
- Keywords: Commutativity, Time-varying systems, Linear systems, Differential equations, Impulse response, NONLINEAR-SYSTEMS
- Open Archive Collection: AVESIS Open Access Collection
- Ondokuz Mayıs University Affiliated: Yes
Abstract
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.