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This paper is devoted to the non-fragile H∞ filter design for discrete stochastic Markov jump systems against intermittent measurements. The measured outputs may be lost among the transmission from the plant to the filter. This phenomenon is modeled via a stochastic variable, which satisfies the Bernoulli random binary distribution. Without extra structure constraints on the introduced variable matrices,...
This paper concerns the finite-time stabilization of discrete Markov jumps systems (MJSs) with partly known transition probabilities (TPs) which are allowed to be known, uncertain with known lower and upper bounds and completely unknown. Combining the property of TPs, sufficient conditions are developed to guarantee that the system states do not exceed a certain threshold in mean-square sense during...
This paper considers the stability analysis and stabilization of continuous-time Markov jump linear systems (MJLSs) with partly known transition probabilities. According to the bounds of transition probabilities, the partly known transition probabilities considered in this paper covers the cases of known, unknown with known bounds and completely unknown. New sufficient conditions which can be used...
This paper concerns the problem of full-order and reduced-order H∞ filter design for discrete-time system with sector-bounded nonlinearities. The purpose of this paper is to design full-order and reduced-order filter with the same nonlinearity such that the filtering error system is asymptotically stable and has a guaranteed H∞ performance. By using slack variable technique, sufficient conditions...
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