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Transfer function computation for 3-D discrete systems

George E. Antoniou (2000)

Kybernetika

A theoretically attractive and computationally fast algorithm is presented for the determination of the coefficients of the determinantal polynomial and the coefficients of the adjoint polynomial matrix of a given three-dimensional (3–D) state space model of Fornasini–Marchesini type. The algorithm uses the discrete Fourier transform (DFT) and can be easily implemented on a digital computer.

Transformation of optimal control problems of descriptor systems into problems with state-space systems

Jovan Stefanovski (2012)

Kybernetika

We show how we can transform the and 2 control problems of descriptor systems with invariant zeros on the extended imaginary into problems with state-space systems without such zeros. Then we present necessary and sufficient conditions for existence of solutions of the original problems. Numerical algorithm for control is given, based on the Nevanlinna-Pick theorem. Also, we present an explicit formula for the optimal 2 controller.

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