Technical communique: Delay-dependent robust stability for uncertain linear systems with interval time-varying delay

By Xiefu Jiang, Qing-Long Han. 2006

247 citations recorded by the source corpus.

This paper is concerned with the delay-dependent robust stability problem for uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval and no restriction on the derivative of the time-varying delay is needed, which allows the delay to be a fast time-varying function. The uncertainty under consideration is norm-bounded, and possibly time-varying, uncertainty. Based on the Lyapunov-Krasovskii functional approach, a stability criterion is derived by introducing some relaxation matrices that can be used to reduce the conservatism of the criteria. Numerical examples are given to demonstrate effectiveness of the proposed method.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/cbe0675065f46dd50a4c5c6899ef722c159c1d4c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Peng Shi
2. Dong Wang
3. Wei Wang
4. Masoud Shafiee
5. Iman Zamani

In Control and Systems Engineering

1. Peng Shi
2. Wei Wang
3. Dong Wang
4. Shaocheng Tong
5. Masoud Shafiee
6. Iman Zamani
7. Fanbiao Li
8. Yong-ming Li

Citations in the corpus

• Event-triggered communication and H∞H∞ control co-design for networked control systems (2013, unknown): “The MADBs obtained based on the methods in [11], [27], [10] and [7] are 0.”
• Delay‐dependent exponential stability for switched delay systems (2009, background): “Moreover, the time delay under consideration is not interval time-varying [18, 19] but a constant.”