Stabilization of bilinear sparse matrix control systems using periodic inputs

• Autores: Bahman Gharesifard
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 77, 2017, págs. 239-245
• Idioma: inglés
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• Resumen

  • Abstract In this brief paper, using results from the theory of averaging of bilinear systems, we provide a graph theoretic characterization for the existence of periodic control inputs that stabilize a sparse matrix system to the origin. In particular, we introduce a class of extensions to the directed graph corresponding to a given sparse matrix system, which when contains a stable sparse matrix system implies that the original system is stabilizable using periodic inputs. When this condition holds, we provide a systematic procedure for designing such controllers. Our technical approach combines ideas from the theory of bilinear control systems and averaging theory with graph theoretic results.