PBH tests for nonlinear systems

• Autores: Yu Kawano, Toshiyuki Ohtsuka
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 80, 2017, págs. 135-142
• Idioma: inglés
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• Resumen

  • Abstract Recently, concepts of nonlinear eigenvalues and eigenvectors are introduced. In this paper, we establish connections between the nonlinear eigenvalues and nonlinear accessibility/observability. In particular, we provide a generalization of Popov–Belevitch–Hautus (PBH) controllability/observability test to nonlinear accessibility/observability. Our PBH accessibility/observability test is equivalent to the accessibility/observability rank condition under a stranded assumption.