Title |
Delay-Dependent Robust Stability of Uncertain Time-Delayed Linear Systems |
Authors |
이연규(Yi, Yearn-Gui) ; 김진훈(Kim, Jin-Hoon) |
Keywords |
` Uncertainty ; Time-Delay ; Robust Stability ; Lyapunov-Krasovskii Functional ; LMI |
Abstract |
In this paper, we propose a new delay-dependent criterion on the robust stability of time-delayed linear systems having norm bounded uncertainties. Based on new form of Lyapunov-Krasovskii functional and the Newton-Leibniz formula, we drive a result in the form of LMI which guarantees the robust stability without any model transformation. The Newton-Leibniz equation was used to relate the cross terms with free matrices. Finally, we show the usefulness of our result by two numerical examples. |