Robust Exponential Stabilization for a Class of Nonlinear Uncertain Systems with Time-varying Delays
Keyword(s):
This paper is concerned with the problem of robust exponential stabilization for a class of nonlinear uncertain systems with time-varying delays. By using appropriately chosen Lyapunov-Krasovskii functional, together with the Finsler’s lemma, sufficient conditions for exponential stability of nonlinear uncertain systems with time-varying delays are proposed in terms of linear matrix inequality (LMI). Then, novel sufficient conditions are developed to ensure the nonlinear uncertain system with time-varying delay is robust exponentially stabilizable in terms of linear matrix inequality with state feedback control. Finally, a numerical example is given to illustrate the efficiency of proposed methods.
2011 ◽
Vol 204-210
◽
pp. 1549-1552
2013 ◽
Vol 791-793
◽
pp. 888-891
2007 ◽
Vol 03
(03)
◽
pp. 321-330
◽
2010 ◽
Vol 2010
◽
pp. 1-19
◽
2017 ◽
Vol 10
(02)
◽
pp. 1750027
◽
2014 ◽
Vol 2014
◽
pp. 1-12
◽
1999 ◽
Vol 30
(1)
◽
pp. 3-9
◽