2006
DOI: 10.1016/j.advengsoft.2005.12.002
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Stability conditions of fuzzy systems and its application to structural and mechanical systems

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Cited by 130 publications
(65 citation statements)
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“…We derive delay-dependent stability conditions using recent technique called free-weighting matrix method [4]. This criterion is expressed in terms of Linear Matrix Inequalities (LMIs) which can be efficiently solved by using various convex optimization algorithms [6,15]. The proposed approach improves existing ones in [4].…”
Section: Introductionmentioning
confidence: 95%
See 1 more Smart Citation
“…We derive delay-dependent stability conditions using recent technique called free-weighting matrix method [4]. This criterion is expressed in terms of Linear Matrix Inequalities (LMIs) which can be efficiently solved by using various convex optimization algorithms [6,15]. The proposed approach improves existing ones in [4].…”
Section: Introductionmentioning
confidence: 95%
“…Many researches are investigated on the Takagi-Sugeno fuzzy models [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] which can associate the flexible fuzzy logic theory and rigorous mathematical theory into a unified framework. Thus, it becomes a powerful tool in approximating a complex nonlinear system.…”
Section: Introductionmentioning
confidence: 99%
“…In order to underline the interest and the efficiency of the proposed approach, a first example of nonlinear system is considered, which consists of a two-link manipulator (Figure 4) [34,35] …”
Section: Modelling Of a Mechanical Manipulatormentioning
confidence: 99%
“…It is also rejected by certain systems such as the saturated systems, the piecewise linear systems, etc. Some works show the contribution of the polyquadratic and the piecewise quadratic Lyapunov functions, [15], [16], [17].…”
Section: Introductionmentioning
confidence: 99%
“…It is also rejected by certain systems such as the saturated systems, the piecewise linear systems, etc. Some works show the contribution of the polyquadratic and the piecewise quadratic Lyapunov functions, [15], [16], [17].The study proposed in this paper focuses on a class of uncertain systems and complex continuing bounded parameters [18], [19]. The global model can be obtained either by using the switching operation or fusion.…”
mentioning
confidence: 99%