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Polynomial approaches in control theory

  • Baltazar Aguirre-Hernández,
  • Carlos Arturo Loredo-Villalobos,
  • David Castillo-Fernández,
  • Cutberto Romero-Meléndez,
  • Rafael Felipe Monroy-Pérez,
  • Edgar Cristian Díaz-González

摘要

In this paper, we present a overview of polynomial techniques in control theory providing a useful reference in this topics. We devote a special space to the usefulness of polynomials in the study of polynomial stability. We also explain how polynomials are an auxiliar tool to investigate some problems of controllability of systems, for example loop-closed control and motion planning problem.