Extended State-Space Model of Discrete-Time Dynamical Systems
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A model for discrete-time dynamical systems is discussed in which the future values of the internal variables depend on the present and K − 1 previous time instants, where K is the order of the model. We outline transition matrix and impulse response calculations, equivalences between model and conventional state variable models, methods of constructing such a model, and means for calculating certain quantities relevant to the design of cost-optimal low-roundoff noise digital filters.
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IEEE Transactions on Circuits and Systems