LAUSR

During the analysis and design of a network system, a frequently encountered situation is when the network structure is known but the node dynamics is practically unknown. Thus, structural analysis in which the prior knowledge is mostly about the network structure has received attention in recent years. Motivated by this line of research, this article focuses on a structural design problem called the structural equilibrium control problem, which is used to find a sign pattern in the control input such that any constant input with the sign pattern drives the system to a desirable steady state in a qualitative sense. A solution is presented by reducing it to a design problem of the so-called sign-solvable equation, which is a linear equation whose qualitative solution can be determined from the prior knowledge of the sign pattern of the coefficients.