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The problem of robust H∞ filtering for polytopic Delta operator systems is investigated. An enhanced linear matrix inequality (LMI) representation for H∞ performance criterion is presented based on the bounded real lemma by introducing two slack matrices. Upon this criterion, a structured polynomially parameter-dependent approach is proposed to solve robust H∞ filtering problem, which is realized...
The problem of robust Hinfin-performance analysis for a class of uncertain discrete-time switched systems with time-delay is investigated. The uncertainty considered here is assumed to be linear fractional. Combined the switched Lyapunov-Krasovskii function method with Finslerpsilas Lemma, a condition is derived to check the robust asymptotically stability with a prescribed Hinfin norm bound gamma...
In this paper, we deal with the problem of robust stability analysis of linear systems with real parametric uncertainty. The new conditions for the robust stability are given in terms of linear matrix inequalities (LMIs) based on parameter-dependent Lyapunov function approach. Firstly, we describe the model of the uncertain linear system and the relative robust stability problem. Then, using two lemmata...
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