Improved delay-dependent stability criteria for time-delay systems

By Shengyuan Xu, James Lam. IEEE Transactions on Automatic Control, 2005

562 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/11943dd0f71cd2baa7a7dc3f58ffab6b4ee89e6e

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. Shengyuan Xu
3. Frédéric Gouaisbaut
4. Baoyong Zhang
5. Yun Zou
6. Guanghong Yang
7. Huijun Gao
8. Peng Shi

In Control and Systems Engineering

1. James Lam
2. Peng Shi
3. Shengyuan Xu
4. Huijun Gao
5. Hamid Reza Karimi
6. Guanghong Yang
7. Hongyi Li
8. Ligang Wu

Citations in the corpus

• 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.”
• New Results on Stability of Discrete-Time Systems With Time-Varying State Delay (2007, background): “A great number of research results concerning time-delay systems exist in the literature (see [1], [3]–[6], [8]–[15], [17], and the references therein).”
• Robust Stability for Uncertain Delayed Fuzzy Hopfield Neural Networks With Markovian Jumping Parameters (2009, background): “Recently, some quiet significant delay-dependent stability conditions have been proposed for linear time-delay systems, see, for instance, [6]–[ 13 ].”
• Integral partitioning approach to robust stabilization for uncertain distributed time‐delay systems (2012, methodology): “By introducing the slack variables to deal with the weighted cross-products of the state and the delayed state, the new stability criterion obtained in [7] is less conservative than the result in [6].”
• New results of stability analysis for systems with time‐varying delay (2010, methodology): “It is clear that the Lyapunov function defined in Theorem 1 is more general than the ones in [6, 9, 10], etc.”
• Stability analysis for neutral systems with mixed delays (2007, background): “[21] S.Y. Xu, J. Lam, Improved delay-dependent stability criteria for time-delay system, IEEE Trans.”
• DELAY-DEPENDENT ROBUST STABILITY OF TIME DELAY SYSTEMS (2006, background): “During the last decades, stability of linear time delay systems have attracted a lot of attention, see (Moon et al. , 2001; Park, 1999; Xu and Lam, 2005; Fridman and Shaked, 2002 a ) and references therein.”
• Delay‐dependent stability and stabilization of neutral time‐delay systems (2009, background): “The upper bounds on the delay obtained in [16, 32, 33] are all 0.”
• Two general integral inequalities and their applications to stability analysis for systems with time‐varying delay (2016, methodology): “The free-weighting-matrix technique [2, 3] is a powerful tool in coping with the integral terms by applying the Newton–Leibnitz formula and introducing some free matrices.”
• Asymmetric Lyapunov–Krasovskii functional method on stability of time‐delay systems (2021, background): “Theorem 2 increases the number of variables compared to Theorem 1, and only require Ẑ1 > 0, Ẑ2 > 0, LMIs (15) and (16) to ensure the LKF (18) being positive definite similarly.”
• A NOTE ON STABILITY OF TIME DELAY SYSTEMS (2006, methodology): “Since then, new methods such as (Wu et al., 2004; Xu and Lam, 2005) give new LMIformulations with less decision variables and similar results on examples.”