Homogeneous interconnected systems: An example

Large systems with special invariance properties appear in many engineering problems, e.g., solar arrays, cascades of reactors, flexible structures, etc. In this paper, we are concerned with a class of such systems exhibiting a linear lattice structure. Following some observations on the algebraic structure of such systems, we focus on the analytic aspects of associated control problems. Our motivation for this exercise derives from problems of controlling seismic cables used in offshore oil exploration.