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Your search keyword '"Huang, Yi-Bo"' showing total 2 results
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2 results on '"Huang, Yi-Bo"'

1. 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
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2. Quasi‐convex combination method and its application to the stability analysis of 2D discrete‐time Roesser systems with time‐varying delays.

Author

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

Abstract

This study is concerned with the problem of stability analysis of two‐dimensional (2D) discrete‐time Roesser systems with time‐varying delays. First, based on an augmented Lyapunov–Krosovskii functional, a less conservative stability criterion incorporating time‐varying terms is established by utilising a general free‐matrix‐based inequality. Next, in order to eliminate the time‐varying terms without introducing redundant constraints, a quasi‐convex combination method is proposed. Then, compared with the criteria derived via the other inequalities, the conservatism analysis is given to prove the proposed criterion can lead to a better result theoretically. Finally, a numerical example is presented to illustrate the advantage of the presented method. [ABSTRACT FROM AUTHOR]

Published
2018
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