Commutativity of Linear Time-Varying Differential Systems with Nonzero Initial Conditions : A Review and Some New Extensions
Joint Authors
Koksal, Mehmet Emir
Koksal, Muhammet
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-10
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
Necessary and sufficient conditions for the commutativity of linear time-varying systems are derived in the case of nonzero initial conditions.
It is shown that some commutative class of linear time-varying systems may not commute with arbitrary initial conditions.
In this respect, commutativity of Euler differential systems is investigated.
Explicit commutativity conditions for the fifth-order systems are solved.
New results about the effects of commutativity on system sensitivity and disturbance properties are presented, which is very important for network design and industrial applications where many of the systems are composed of subsystems cooperating one after another in a chain.
The results are supported by examples treated either analytically or numerically.
American Psychological Association (APA)
Koksal, Muhammet& Koksal, Mehmet Emir. 2011. Commutativity of Linear Time-Varying Differential Systems with Nonzero Initial Conditions : A Review and Some New Extensions. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-25.
https://search.emarefa.net/detail/BIM-489785
Modern Language Association (MLA)
Koksal, Muhammet& Koksal, Mehmet Emir. Commutativity of Linear Time-Varying Differential Systems with Nonzero Initial Conditions : A Review and Some New Extensions. Mathematical Problems in Engineering No. 2011 (2011), pp.1-25.
https://search.emarefa.net/detail/BIM-489785
American Medical Association (AMA)
Koksal, Muhammet& Koksal, Mehmet Emir. Commutativity of Linear Time-Varying Differential Systems with Nonzero Initial Conditions : A Review and Some New Extensions. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-25.
https://search.emarefa.net/detail/BIM-489785
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489785