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

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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