Commutativity of linear time-varying differential systems with nonzero initial conditions: a review and some new extensions

DOI10.1155/2011/678575zbMath1241.34015OpenAlexW2046981086WikidataQ58693349 ScholiaQ58693349MaRDI QIDQ410498

Mehmet Emir Koksal, Muhammet Köksal

Publication date: 3 April 2012

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/678575

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Controllability, observability, and system structure (93B99) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (6)

COMMUTATIVITY ASSOCIATED WITH EULER SECOND-ORDER DIFFERENTIAL EQUATION ⋮ Decomposition of a second-order linear time-varying differential system as the series connection of two first order commutative pairs ⋮ Inverse commutativity conditions for second-order linear time-varying systems ⋮ Realization of a fourth-order linear time-varying differential system with nonzero initial conditions by cascaded two second-order commutative pairs ⋮ Commutativity of sixth-order time-varying linear systems ⋮ COMMUTATIVITY OF HIGH-ORDER LINEAR TIME-VARYING SYSTEMS

Cites Work

• Exhaustive study on the commutativity of time-varying systems
• A successive decomposition method for the solution of linear time-varying systems
• Commutativity of second order time varying systems
• On solution, stability and transformation of linear time-varying systems
• On the commutative class of linear time-varying systems
• Comments on ‘ Commutativity of second-order time-varying systems ’
• Unnamed Item

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