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In this paper, a practical Identification strategy is applied to the optimal design of fractional-order iterative learning control (FOILC). The initialized fractional-order gray-box system with commensurate order or non-commensurate order is identified by using the fractional-order iterative learning Identification and the least square or instrumental variable method. The optimal Dα-type FOILC is...
This paper is concerned with the problem of stabilizing a linear system with input delay. Motivated by the firstorder truncated predictor feedback (TPF) approach recently developed by the authors, a general higher-order TPF controller that contains higher-order terms of the nominal feedback gains is proposed. It is shown that this higher-order TPF can also globally and semi-globally stabilize the...
In this paper, the approximate controllability of stochastic integrodifferential systems with nonlocal conditions is considered. Assuming the conditions for the approximate controllability of these linear systems, the sufficient conditions for the approximate controllability of these associated nonlinear stochastic integrodifferential systems in Hilbert spaces is obtained by using B. C. Dhage's multivalued...
This technical note is concerned with stability analysis and stabilization of Itô stochastic systems with Markovian switching. A couple of eigenvalue sets for some positive operator associated with the stochastic system under study are defined to characterize its stability in the mean square sense. Properties for these eigenvalue sets are established based on which we show that the spectral abscissa...
This paper firstly addresses the convergence analysis of iterative learning control of a class of fractional order nonlinear systems using the generalized Gronwall-Bellman lemma. Detailed problem definition and convergence proof are presented together with an agenda for future research efforts.
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