Journal of Control and Systems Engineering
BlockStructure Relocation via State and State Derivative Feedback Eigenspace of Matrix Polynomials Characterization 



Abstract: 

In this paper, a new algorithm based on the theory of matrix polynomials with the help of the kronecker product was proposed, which can assign both blockroots (solvents) and blockeigenvectors in order to achieve desired objectives with latent structure specifications. Two types of control were treated and legibly studied, then numerically are shown to be practical, powerful and effective. They are the state and statederivative feedback. The method proposed here allows the assignments of blockroots, which can alter both stability and the rate of decay. On the other hand, assignments of the blockeigenvectors determine the relative shape of the response. The necessary condition for the system to have blockassignment is the blockcontrollability or blockobservability. 

Keywords:Solvents; Statederivative; Blockroots, Blockeigenvectors; Latent Structure; Matrix Polynomial 

Author: Belkacem Bekhiti,Abdelhakim Dahimene,Bachir Nail,Kamel Hariche 

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