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2017 On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems
El-Sayed M. E. Mostafa, Abdallah W. Aboutahoun, Fatma F. S. Omar
J. Appl. Math. 2017: 1-12 (2017). DOI: 10.1155/2017/7256769

Abstract

The output feedback eigenvalue assignment problem for discrete-time systems is considered. The problem is formulated first as an unconstrained minimization problem, where a three-term nonlinear conjugate gradient method is proposed to find a local solution. In addition, a cut to the objective function is included, yielding an inequality constrained minimization problem, where a logarithmic barrier method is proposed for finding the local solution. The conjugate gradient method is further extended to tackle the eigenvalue assignment problem for the two cases of decentralized control systems and control systems with time delay. The performance of the methods is illustrated through various test examples.

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El-Sayed M. E. Mostafa. Abdallah W. Aboutahoun. Fatma F. S. Omar. "On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems." J. Appl. Math. 2017 1 - 12, 2017. https://doi.org/10.1155/2017/7256769

Information

Received: 12 June 2017; Accepted: 5 July 2017; Published: 2017
First available in Project Euclid: 19 September 2017

zbMATH: 07037485
MathSciNet: MR3687681
Digital Object Identifier: 10.1155/2017/7256769

Rights: Copyright © 2017 Hindawi

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