Admissible Finite-Time Stability Analysis of Uncertain Discrete-Time Singular Systems with a Time-Varying Delay
| Autor: | Ming-Chun Wang, 王銘駿 |
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| Rok vydání: | 2015 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 103 The thesis studies, via the linear matrix inequality techniques, some analysis issues of discrete-time systems, both state-space and singular ones, with a time-varying delay. The delay-dependent stability analysis of state-space systems is addressed first. A sufficient condition for asymptotic stability is derived by the Lyapunov functional approach together with the free-weighting-matrix technique. However, aiming at reducing the number of slack variables, a different way from the existing literature to introduce the free-weighting matrices is adopted in the thesis. A theoretical proof of the equivalence between our condition and others is also provided. The results are then further extended to considering the delay-dependent admissibility and admissible finite-time stability of singular systems. To explore other possible extensions, additional time-varying norm-bounded terms, used to describe either the uncertainties or the nonlinearities, are moreover assumed existing individually in dynamics of the considered singular systems. Numerical examples to illustrate the merit of our method are also provided. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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