Journal of Control and Systems Engineering
Journal of Control and Systems Engineering(JCSE)

Block-Structure Relocation via State and State Derivative Feedback Eigenspace of Matrix Polynomials Characterization
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 block-roots (solvents) and block-eigenvectors 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 state-derivative feedback. The method proposed here allows the assignments of block-roots, which can alter both stability and the rate of decay. On the other hand, assignments of the block-eigenvectors determine the relative shape of the response. The necessary condition for the system to have block-assignment is the block-controllability or block-observability.
Keywords:Solvents; State-derivative; Block-roots, Block-eigenvectors; Latent Structure; Matrix Polynomial
Author: Belkacem Bekhiti,Abdelhakim Dahimene,Bachir Nail,Kamel Hariche


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