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The paper studies how nonlinear PCH Hamiltonian systems are transformed under sampling. We show that Hamiltonian conservation can be preserved under sampling with respect to a modified output mapping. The impact of this result for computing sampled-data stabilizing controllers is illustrated on the basis of an example.
Last decades, the control and system theory has been beneficed more by the new technological trends. Thus, in numerous (computational) applications, for instant in electronics, in computers, in engineering, as well as, in financial issues, some elements of the control and system theory have been introduced. In this paper, we are interested to change instantly the state of linear matrix differential...
In this paper, the analysis for a singularly perturbed linear system with quantization in the feedback loop is performed. It is found that the system has variable structure and can exhibit sliding behavior on the switching surfaces. Because the system is nonsmooth and standard singular perturbation techniques are not applicable, a new technique is developed for a two-input case to obtain the boundary...
Linear time-invariant time-delay control systems are approximated by time-invariant descriptor-variable systems. The approximating descriptor-variable systems do not contain any time-delay but they are controlled by a linear combination of the input vector and some of its derivatives. Necessary conditions are derived for existence of optimal controls; a "minimum energy" optimal control problem...
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