By Topic

Exponential input-to-state stability of Runge-Kutta methods for neutral delay control systems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Yewei Xiao ; Coll. of Inf. Eng., Xiangtan Univ., Xiangtan, China ; Hongzhong Tang ; Qiao Zhu

The aim of this paper is to find conditions under which the Runge-Kutta (RK) method reproduces the exponential input-to-state stability (exp-ISS) behavior of the nonlinear neutral delay control systems (NDCSs) without involving control Lyapunov function. A spectial continuous RK method is introduced which is equivalent to the descrete RK method for the exp-ISS. Under global Lipschitz condition, boundedness and an appropriate strong convergence are gotten. Under this strong convergent condition, it is shown that, for sufficiently small step-sizes, the exp-ISS of a NDCS holds if and only if that of the RK method is preserved.

Published in:

Signal Processing (ICSP), 2010 IEEE 10th International Conference on

Date of Conference:

24-28 Oct. 2010