Dissipation design for uncertain discrete-time systems

Considers dissipative analysis and synthesis problems for a class of signal processing systems with uncertainties satisfying some summed quadratic constraints. For dissipative analysis, we are concerned with deriving conditions such that a given system is of a desired dissipative property. As for the latter problem, we focus on compensation design for each of the subsystems to achieve certain dissipative property such that their interconnections will be stable. Our solution to the above two problems are in terms of the feasibility of one or more linear matrix inequalities which can be solved efficiently