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Research On Stability Of Uncertain Fuzzy Large-Scale Systems

Posted on:2006-04-27Degree:MasterType:Thesis
Country:ChinaCandidate:X W LiuFull Text:PDF
GTID:2120360152997580Subject:Circuits and Systems
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Research on the properties of fuzzy systems and large-scale systems is the requirement of both theory and practice, because they describe and deal with a great deal of models of the real world. Though being burgeoning areas, they have attracted much attention from both scientists and engineers. However, just being burgeoning areas, they need people pay much more attention to. Some authors have done valuable works about tracking of the uncertain large-scale control systems. As much as I know, few researchers have reported related results about the properties, especially stability, of the uncertain large-scale systems. In this dissertation, we deal with the stability problem of the uncertain large-scale fuzzy systems. Main contributions of this dissertation are summarized as following: 1. For both continuous-time and discrete-time uncertain fuzzy large-scale systems, the asymptotic stability criteria are proposed. 2. For continuous-time uncertain fuzzy large-scale systems with invariable delays in the interconnections, both delay-dependent and delay-independent asymptotic stability criteria are proposed. For discrete-time uncertain fuzzy large-scale systems with time delays in the interconnections, the asymptotic stability criteria are proposed. 3. For continuous-time uncertain fuzzy large-scale systems with time-varying delays in the interconnections, both delay-dependent and delay-independent asymptotic stability criteria are proposed. For discrete-time uncertain fuzzy large-scale systems with time-varying delays in the interconnections, the asymptotic stability criteria are proposed. 4. We mainly deal with the stability problem of systems under consideration...
Keywords/Search Tags:Lyapunov-Krasovskii functional, linear matrix inequality (LMI), uncertainty, vector Lyapunov function, Takagi-Sugeno (T-S) model
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