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This paper considers the problem of robust stability and stabilization of uncertain time delay systems. We focus on the class of Metzlerian delay systems and use the interesting properties of Metzler matrix to provide the necessary ingredients for the main results of the paper. It is shown that Metzlerian delay system is asymptotically stable if and only if the Metzlerian system without delay∗ is...
This paper presents less conservative LMIs conditions for robust stability analysis and for robust controller design of uncertain discrete-time systems with time-varying delay in the state vector. The uncertainty, supposed to be described in the polytopic framework, affects all matrices of the system. The proposed conditions are convex and delay dependent. The main idea is to apply a well-known parameter...
The problem of delay-dependent H∞ filtering for uncertain stochastic time-delay systems with norm-bounded uncertainties is investigated in this paper. By introducing an additional vector, a new integral inequality in the stochastic setting is established. Based on this new inequality and free-weighting matrix technique, a delay-dependent sufficient condition for the existence of an H∞ filter for uncertain...
This paper considers robust fault detection and isolation observer (RDO) for uncertain singular time delay system with faults. A sufficient condition for the existence of RDO and an efficient design algorithm are obtained. The design of RDOs associated with various splitting of the faults is also discussed.
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