New Results on Stability of Discrete-Time Systems With Time-Varying State Delay

By Huijun Gao, Tongwen Chen. IEEE Transactions on Automatic Control, 2007

701 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/3c5cbfdd18df4587cbc1a9420f5df6ae03e8dd83

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. Huijun Gao
2. Zidong Wang
3. James Lam
4. Xiaohui Liu
5. Yurong Liu
6. Shengyuan Xu
7. Jinling Liang
8. Zhiguang Feng

In Control and Systems Engineering

1. Huijun Gao
2. James Lam
3. Shengyuan Xu
4. Zidong Wang
5. Guanghong Yang
6. Tongwen Chen
7. Baoyong Zhang
8. Hongyi Li

Citations in the corpus

• 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].”
• A new result on the delay‐dependent stability of discrete systems with time‐varying delays (2014, methodology): “In the proof of Theorem 1, it can be seen that we do not require all the symmetric matrices in the Lyapunov–Krasovskii functional (7) to be positive definite; such a requirement is usually needed in the literature to guarantee the positive definiteness of a chosen Lyapunov– Krasovskii functional [9,”
• Robust H∞ control for a class of nonlinear discrete time-delay stochastic systems with missing measurements (2009, neutral): “[10]) could reduce the possible conservatism as well.”
• Robustness of a discrete-time predictor-based controller for time-varying measurement delay (2010, methodology): “In Table 1 comparative results using Theorem 1 in Guo and Li (2009), Theorems 1 and 3 in Gao and Chen (2007), Theorem 1 in Meng et al. (2010),(4) without the”
• Stabilization of Networked Control Systems With a New Delay Characterization (2008, methodology): “We assume dm = 2, and we are interested in using the results in [23], [25], [34] to calculate the maximum dM , such that the controller in (12) stabilizes the original system for dm dk dM .”
• Optimal partitioning method for stability analysis of continuous/discrete delay systems (2015, methodology): “Furthermore, some useful terms ignored in [20] are introduced in new Lyapunov functional defined in [21].”