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This paper applies the hierarchical identification principle and the gradient search method to study iterative solutions for a class of general coupled matrix equations with real coefficients. As long as the convergence factors are appropriately chosen, the proposed algorithms for any initial values can provide iterative solutions that are arbitrarily close to the unique solutions of the equations...
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...
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