TY - JOUR T1 - Finite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay TT - پایدارسازی زمان محدود سیستم‌های غیرخطی تأخیردار به همراه نامعینی و تأخیر متغیر با زمان JF - joc-isice JO - joc-isice VL - 14 IS - 2 UR - http://joc.kntu.ac.ir/article-1-589-en.html Y1 - 2020 SP - 79 EP - 87 KW - Finite-time stabilization KW - Time-varying delay KW - Linear matrix inequalities KW - Nonlinear function N2 - In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonlinear system with uncertainties and based on the Lyapunov approach is presented. In the following, sufficient conditions to ensure finite time stabilization the considered system with state feedback are presented. In the proofs of proposed theorems are used from the appropriate Lyapunov-Krasovskii function and newton-Libniz-formula that can reduce the conservative. Also, all of the obtained conditions in this paper are delay-dependent and presented as linear matrix inequalities .Finally, the numerical examples and simulations exhibit the effectiveness of the proposed methods. M3 10.29252/joc.14.2.79 ER -