Analysis of time-varying delay systems by hybrid of block-pulse functions and biorthogonal multiscaling functions

作者：Mohammadzadeh Robabeh; Lakestani Mehrdad^*

来源：International Journal of Control, 2015, 88(12): 2444-2456.

DOI：10.1080/00207179.2015.1046496

• delay systems
• hybrid functions
• block-pulse function
• biorthogonal multiscaling functions
• cubic Hermite splines
• operational matrix

This paper proposes new effective methods for analysis of time-varying delay systems using new hybrid functions. The excellent properties of the hybrid functions which consist of block pulse functions and biorthogonal multiscaling functions are presented. We utilise operational matrices of product, delay and integration to reduce the solution of delay systems to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the presented technique.

• 出版日期2015-12-2