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This paper deals with the filtering of uncertain LPV systems with time-delays. First we provide a bounded real lemma for LPV time-delay systems having a more useful structure to the filtering problem than the bounded real lemma directly obtained from the parameter dependent Lyapunov-Krasovskii functional. Using the latter result we derive sufficient conditions (in terms of parametrized LMIs) for the...
The Jensen's inequality plays a crucial role in the analysis of time-delay and sampled-data systems. Its conservatism is studied through the use of the Grüss Inequality. It has been reported in the literature that fragmentation (or partitioning) schemes allow to empirically improve the results. We prove here that the Jensen's gap can be made arbitrarily small provided that the order of uniform fragmentation...
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