Technical Communique: Delay-dependent criteria for robust stability of time-varying delay systems

By Min Wu, Yong He, Jinhua She, Guoping Liu. 2004

1,135 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/4af11abb37d1873fcbb455daa125445db041a113

How researchers see this paper

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

In Computational Theory and Mathematics

1. James Lam
2. Yong He
3. Min Wu
4. Qing-Long Han
5. Hongbing Zeng
6. Xianming Zhang
7. Lin Jiang
8. Huijun Gao

In Computer Networks and Communications

1. Yong He
2. James Lam
3. Peng Shi
4. Qing-Long Han
5. Min Wu
6. Xianming Zhang
7. Huijun Gao
8. Hongbing Zeng

In Control and Systems Engineering

1. James Lam
2. Peng Shi
3. Huijun Gao
4. Yong He
5. Qing-Long Han
6. Min Wu
7. Xianming Zhang
8. Shengyuan Xu

Citations in the corpus

• A delay decomposition approach to delay‐dependent stability for linear systems with time‐varying delays (2009, methodology): “3 Using the stability criterion in [24], the MAUB, hmax, of the time-varying delay (t) is calculated for different values of , and the results are listed in Table I.”
• Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay (2015, methodology): “There are two main techniques for handling such integrals: the free-weighting matrix method [13] and the integral inequality method [17], [18].”
• Delay-Dependent Stability Analysis of the Power System With a Wide-Area Damping Controller Embedded (2011, methodology): “The study of time-delay systems has received wide interests[ 17 ]–[19].”
• Asymmetric Lyapunov–Krasovskii functional method on stability of time‐delay systems (2021, background): “Now utilizing Lemma 2 and Lemma 1 to bound −τ ∫ t t−τ ẋ(μ)Ẑ1ẋ(μ)dμ and −τ ∫ t t−τ x(μ)Ẑ2x(μ)dμ in (24), respectively, according to (17) we have V̇ t ≤ ηTΘη < 0, where ηT = [ xT(t) xT(t − τ) ∫ t t−τ xT(μ)dμ ] .”
• Sliding mode control of switched hybrid systems with time‐varying delay (2008, methodology): “[10] and Xu and Lam [11] have developed new methods to obtain less conservative delaydependent stability conditions.”
• Stability analysis for neutral systems with mixed delays (2007, background): “Corollary 2 is equivalent to Theorem 2 in [19].”
• A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems (2011, background): “Hence, researchers have been paying remarkable attention to the problems of analysis and synthesis for time-delay systems (for example, [1]–[3], [13], [16], [18], [23], [27], [28], [31], [33], [35], [37]).”