| Title |
A Study on Robust Stability of Uncertain Linear Systems with Time-delay |
| Authors |
이희송(Lee, Hee-Song) ; 마삼선(Ma, Sam-Sun) ; 유정웅(Ryu, Jeong-Woong) ; 김진훈(Kim, Jin-Hoon) |
| Keywords |
Time-delay, uncertainty ; Lyapunov stability ; Strictly Bounded Real Lemma (SBRL) |
| Abstract |
In this paper, we consider the robust stability of uncertain linear systems with time-delay in the time domain. The considered uncertainties are both the unstructured uncertainty which is only Known its norm bound and the structured uncertainty which is known its structured. Based on Lyapunov stability theorem and{{{{ { H}_{∞ } }}}} theory known as Strictly Bounded Real Lemma (SBRL), we present new conditions that guarantee the robust stability of system. Also, we extend this to multiple time-varying delays systems and large-scale systems, respectively. Finally, we show the usefulness of our results by numerical examples. |