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ISSN: 1554-3641 (Online)
Research Article Open Access

Partial Eigenvalue Assignment for High-Order Linear Systems in a Time Delayed System

Ehab A. El-Sayed1 and Eid E. El Behady2
  • 1 Department of Science and Engineering Mathematics, Faculty of Petroleum and Mining Engineering, Suez University, Saudi Arabia
  • 2 Department of Mathematics, College of Science and Humanitarian Studies, Prince Sattam Bin Abdulaziz University, Al-Kharj, Egypt

Abstract

This paper introduces a solution to the partial eigenvalues assignment problem of high order linear systems with time delayed system in both single-input and multi-input cases using orthogonality relations between eigenvectors of the matrix polynomial. The solution requires the knowledge of only a few eigenvalues and with corresponding left eigenvectors of matrix polynomial. The numerical examples are done to illustrate the proposed method.

American Journal of Applied Sciences
Volume 13 No. 9, 2016, 1006-1013

DOI: https://doi.org/10.3844/ajassp.2016.1006.1013

Submitted On: 19 January 2016 Published On: 29 September 2016

How to Cite: El-Sayed, E. A. & El Behady, E. E. (2016). Partial Eigenvalue Assignment for High-Order Linear Systems in a Time Delayed System. American Journal of Applied Sciences, 13(9), 1006-1013. https://doi.org/10.3844/ajassp.2016.1006.1013

Open AccessCopyright: © 2016 Ehab A. El-Sayed and Eid E. El Behady. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Partial Eigenvalues Assignment Problem
  • Time Delayed
  • High-Order
  • Orthogonality Relations