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Output feedback stabilization for symmetric control systems
Authors:Carmen Coll  Néstor Thome
Institution:Departamento de Matemática Aplicada, Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, 46071 Valencia, Spain
Abstract:This work is devoted to the study of symmetric control systems. It establishes a relation between internal symmetry and external one for a linear invariant control system having n real simple poles. The symmetric stabilization problem is studied using a symmetric feedback gain such that the output control stabilizes the closed-loop system. A necessary and sufficient condition is given to solve this stabilization problem for a symmetric control system (A,B,C) and a generalized symmetric control system (E,A,B,C).
Keywords:Symmetric systems  Output feedback  Realizability  Stability
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