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The minimization problem of frequency-weighted l2-sensitivity subject to l2-scaling constraints is formulated for two-dimensional (2-D) state-space digital filters described by the Roesser model. It is shown that the Fornasini-Marchesini second model can be readily imbedded in the Roesser model. An iterative method is developed to solve the constrained optimization problem. This method converts the...
In this paper, the problem of minimizing an L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints for linear discrete-time systems is investigated. To this end, an expression for evaluating the L2-sensitivity is introduced and an L2-sensitivity minimization problem subject to the L2-scaling constraints is formulated. An efficient iterative algorithm is then explored to solve...
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