Stabilization Analysis of Polynomial Fuzzy Systems via SOS - Euler's Theorem for Homogeneous Functions
| Autor: | Feng-yi Lin, 林峯億 |
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| Rok vydání: | 2013 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 101 Extension of the state dependent Riccati inequalities to non-quadratic Lyapunov function of the form V(x) = 1/2(x^TP^(-1)(x)x), with P^(-1)(x) > 0 requires that P(x)x is a gradient of positive definite function. Unfortunately, the test of P^(-1)(x)x is nonconvex problem. Thus this thesis studies stabilization problems of the polynomial fuzzy systems via homogeneous Lyapunov functions exploiting the Euler’s homogeneity property and algebraic property of Pólya to construct a family of SOS polynomials that solves the nonconvexity problem and releases conservatism as well. Lastly, examples of polynomial fuzzy systems are demonstrated to show the proposed method being effective and effective. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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