Estimating the sustainability of cyber-physical systems based on spectral graph theory

Paper proposed an approach to estimating the sustainability of cyber-physical systems based on system state analysis. Authors suggested that sustainability is the system ability to reconfigure for recovering from attacking influences. Proposed a new criterion for cyber-physical systems sustainability assessment based on spectral graph theory. Numerical calculation of the criterion is based on distribution properties of the graph spectrum - the set of eigenvalues of the adjacency matrix corresponding to the graph. Experimental results have shown dependency of change in Delta sigma, difference between initial value of sigma(start) and final sigma(stop), on working route length, and on graph connectivity was revealed. This parameter is proposed to use as a criterion for CPS sustainability.