On structural accessibility of network nonlinear systems

This paper studies the structural accessibility for a class of network nonlinear systems (NNSs) with meromorphic vector fields. Nonlinear eigenvector and differential one-form are employed to establish a Kalman rank typed strong accessibility condition, which helps to prove that the structural accessibility of the considered NNSs is equivalent to the structural controllability of their linearized systems. Such an equivalence allows us to analyse and design NNSs by using the well-developed linear system theories. A chemical reaction system example is taken to illustrate the theoretical result. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

This paper investigates the structural accessibility of a class of network nonlinear systems, using nonlinear eigenvector and differential one-form to establish a strong accessibility condition equivalent to the controllability of their linearized systems. This equivalence allows for analysis and design of these systems using established linear system theories.