Search

Your search keyword '"Huang, Yi-Bo"' showing total 2 results
Start Over Author "Huang, Yi-Bo" Topic stability criterion
2 results on '"Huang, Yi-Bo"'

1. Stability analysis of discrete-time systems with arbitrary delay kernels based on kernel-related summation inequality and model transformation.

Author

Huang, Yi-Bo, Song, Zhihuan, and Yu, Wei

Subjects
*DISCRETE-time systems, *MATRIX inequalities, *STABILITY criterion
Abstract

In the existing papers considering the stability analysis of discrete-time systems with distributed delays via the Lyapunov-Krasovskii functional (LKF) method, the delay kernels are normally restricted to be non-negative. In this paper, we aim to remove such a restriction and deal with the stability analysis of systems with arbitrary delay kernels. For this purpose, a kernel-related summation inequality is first constructed. Then, a stability condition is derived based on the proposed inequality and a model transformation. Finally, two numerical examples are presented to show that the proposed stability condition not only has a wider scope of application and is less conservative than the existing ones. [ABSTRACT FROM AUTHOR]

Published
2024
Full Text
View/download PDF

2. Polynomial-Type Lyapunov–Krasovskii Functional and Jacobi–Bessel Inequality: Further Results on Stability Analysis of Time-Delay Systems.

Author

Huang, Yi-Bo, He, Yong, An, Jianqi, and Wu, Min

Subjects
*STABILITY criterion, *JACOBIAN matrices, *SYMMETRIC matrices, *INTEGRAL inequalities
Abstract

To derive a less conservative stability criterion via Lyapunov-Krasovskii functional (LKF) method, in previous literature, multiple integral terms are usually introduced into the construction of LKFs. This article generalizes the results of previous literature by proposing a polynomial-type LKF, which contains the LKFs with multiple integral terms as special cases. In addition, a Jacobi–Bessel inequality is presented to bound the derivative of such LKF. As a result, an improved stability criterion of time-delay systems is established. Finally, two numerical examples are given to illustrate the effectiveness, and advantages of our method. [ABSTRACT FROM AUTHOR]

Published
2021
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results