<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Characteristic polynomial assignment for plants with semialgebraic uncertainty: a robust diophantine equation approach"^^ . "In this paper, we address the problem of robust characteristic polynomial assignment for LTI systems whose parameters are assumed to belong to a semialgebraic uncertainty region. The objective is to design a dynamic fixed-order controller in order to constrain the coefficients of the closed-loop characteristic polynomial within prescribed intervals. First, necessary conditions on the plant parameters for the existence of a robust controller are reviewed, and it is shown that such conditions are satisfied if and only if a suitable Sylvester matrix is nonsingular for all possible values of the uncertain plant parameters. The problem of checking such a robust nonsingularity condition is formulated in terms of a nonconvex optimization problem. Then, the set of all feasible robust controllers is sought through the solution to a suitable robust diophantine equation. Convex relaxation techniques based on sum-of-square decomposition of positive polynomials are used to efficiently solve the formulated optimization problems by means of semidefinite programming. The presented approach provides a generalization of the results previously proposed in the literature on the problem of assigning the characteristic polynomial in the presence of plant parametric uncertainty."^^ . "2014" . "25" . "16" . . "Wiley-Blackwell"^^ . . . "International Journal of Robust and Nonlinear Control "^^ . . . "10498923" . . . . . . . . . . . . . "Diego"^^ . "Regruto"^^ . "Diego Regruto"^^ . . "Vito"^^ . "Cerone"^^ . "Vito Cerone"^^ . . "Dario"^^ . "Piga"^^ . "Dario Piga"^^ . . . . . "HTML Summary of #2477 \n\nCharacteristic polynomial assignment for plants with semialgebraic uncertainty: a robust diophantine equation approach\n\n" . "text/html" . . . "QA75 Electronic computers. Computer science"@en . .