A New Approach for the Stability Analysis of Wave Networks
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-11
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We introduce a new approach to investigate the stability of controlled tree-shaped wave networks and subtrees of complex wave networks.
It is motivated by regarding the network as branching out from a single edge.
We present the recursive relations of the Laplacian transforms of adjacent edges of the system in its branching order, which form the characteristic equation.
In the stability analysis, we estimate the infimums of the recursive expressions in the inverse order based on the spectral analysis.
It is a feasible way to check whether the system is exponentially stable under any control strategy or parameter choice.
As an application we design the control law and study the stability of a 12-edge tree-shaped wave network.
American Psychological Association (APA)
Zhang, Ya Xuan& Xu, Gen Qi. 2014. A New Approach for the Stability Analysis of Wave Networks. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014655
Modern Language Association (MLA)
Zhang, Ya Xuan& Xu, Gen Qi. A New Approach for the Stability Analysis of Wave Networks. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1014655
American Medical Association (AMA)
Zhang, Ya Xuan& Xu, Gen Qi. A New Approach for the Stability Analysis of Wave Networks. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014655
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014655
