| Summary: | 碩士 === 國立臺北科技大學 === 電機工程系研究所 === 100 === In this thesis, the delay-range-dependent stability of linear systems with interval time-varying delay will be studied. It is mainly based on Lyapunov-Krasovskii methodology. The derivation techniques include the delay free weighting matrix (FWM) method, Jensen''s integral inequality, the convex combination technique, and the linear matrix inequality (LMI). Stability criteria are given in terms of LMIs, and numerical examples are given to illustrate the effectiveness and the merits of the results. To this end, we first decompose the lower bound delay interval into multiple equidistant subintervals, then construct augmented Lyapunov functionals which contains some triple-integral terms on these intervals and the time-varying delay interval. Consequently, a novel augmented Lyapunov functional is proposed. Secondly, by using FWM approach, Jensen''s integral inequality and the convex combination technique, some new stability criteria for interval time-varying delay systems are derived in terms of LMIs. Finally, numerical examples are presented to demonstrate the less conservatism of the obtained results, when compared to existing results.
|
|---|
