Structural control of single-input rank one bilinear systems

• Supratim Ghosh ^[1] ; Justin Ruths ^[1]
  1. [1] Singapore University of Technology and Design

     Singapore University of Technology and Design

     Singapur

     
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 64, 2016, págs. 8-17
• Idioma: inglés
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• Resumen

  • A bilinear dynamical system can be used to represent the model of a network in which the state obeys linear dynamics and the input is the edge weight of certain controlled edges in the network. We present algebraic and graph-theoretic conditions for the structural controllability of a class of bilinear systems with a single control where the input matrix is rank one. Subsequently, we use these conditions, given a system state graph, to develop an algorithm to design the location of controlled edges (the input matrix) such that the system is structurally controllable.