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This paper focuses on the identification problem of multiple input single output finite impulse response (MISO-FIR) systems with unknown time delays. Using the matrix decomposition, a modified threshold orthogonal matching pursuit (TH-OMP) algorithm is proposed for identifying the parameters and time delays of the MISO-FIR systems from finite sampled data. The modified version of the TH-OMP algorithm...
For the systems which the control input and output are updated and sampled non-uniformly, the lifted state-space models are derived, and then the corresponding input-output relationships are obtained. According to the hierarchical identification principle, the obtained identification model is decomposed into two fictitious subsystems, one containing the parameter vector only, and the other containing...
To solve systems of linear matrix equations A1XB1 = F1 and A2XB2 = F2, we present iterative algorithms to get the solutions. For any initial value, we prove that the iterative solutions consistently converge to the true one. The proposed algorithms are concerned on new iterative solutions to the equations under some condition. Finally, a simulation example is given and the results verify the theoretical...
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