Li, Fudong, Chen, Jian, Zhang, Lanhong, Wang, Qibing and Jiang, Lin 
ORCID: 0000-0001-6531-2791
(2022)
Improved Delay-Dependent Stability Analysis of Fixed-Point State-Space Digital Filters With Time-Varying Delay and Generalized Overflow Arithmetic.
IEEE Access, 10.
pp. 9406-9419.
Abstract
This paper is concerned with the stability analysis of fixed-point state-space digital filters with generalized overflow arithmetic and a time-varying delay. This paper aims to derive a delay and nonlinear function bound dependent asymptotical stability criterion with less conservatism. Firstly, a new Lyapunov functional with several augmented terms, including extra free matrices and overflow nonlinear function, is constructed such that it has a relaxed positive condition. Then, for bounding the summation term arising in the forward difference of Lyapunov functional, a new lemma is developed to introduce the terms for linking the delayed states and the overflow nonlinear function, the Wirtinger-based summation inequality and several zero-value terms are applied to add more cross terms. As a result, a stability criterion with less conservatism is established and its conservatism. Finally, several numerical examples are given to illustrate the advantages of the proposed method.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Delays, Stability criteria, Numerical stability, Linear matrix inequalities, Asymptotic stability, Arithmetic, Symmetric matrices, digital filter, generalized overflow arithmetic, time-varying delay |
| Divisions: | Faculty of Science and Engineering > School of Electrical Engineering, Electronics and Computer Science |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 08 Feb 2022 11:44 |
| Last Modified: | 22 May 2023 16:40 |
| DOI: | 10.1109/access.2022.3143309 |
| Open Access URL: | https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&ar... |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3148495 |
Dimensions
Dimensions
