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On an operator-pencil approach to distributed control of heterogeneous systems

In this paper we consider spatially distributed heterogeneous discrete-time systems which are interconnected over an infinite lattice. An operator-pencil approach is employed to develop analysis conditions, which are less conservative than those previously available. Synthesis conditions are also obtained and are in the form of operator inequalities. In general these are infinite dimensional but in the case of eventually invariant systems these reduce to a semidefinite program.