Partial Eigenvalue Assignment for High-Order Linear Systems in a Time Delayed System
Ehab A. El-Sayed1 & Eid E. El Behady2 Show affiliations
- Department of Science and Engineering Mathematics, Faculty of Petroleum and Mining Engineering, Suez University, Saudi Arabia
- Department of Mathematics, College of Science and Humanitarian Studies, Prince Sattam Bin Abdulaziz University, Al-Kharj, Egypt
American Journal of Applied Sciences, Volume 13, Issue 9, pp. 1006–1013 · doi.org/10.3844/ajassp.2016.1006.1013
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.
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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
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