Stability analysis for continuous systems with two additive time-varying delay components

By James Lam, Huijun Gao, Changhong Wang. Systems & control letters (Print), 2007

346 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/5333bb87784a64a2ebd2d30fadce9c6fb6b61960

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. Yong He
4. Qing-Long Han
5. Min Wu
6. Hongbing Zeng
7. Xianming Zhang
8. Huijun Gao

In Computer Networks and Communications

1. Qing-Long Han
2. Xianming Zhang
3. James Lam
4. Peng Shi
5. Chen Peng
6. Shengyuan Xu
7. Huijun Gao
8. Xiaohua Ge

In Control and Systems Engineering

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

Citations in the corpus

• A new delay system approach to network-based control (2008, methodology): “This model contains multiple delay components in the state, and a stability analysis result is reported in Lam et al. (2007) for systems with two successive delay components.”
• Network-Based ${{\cal H}}_{\!\!\!\infty }$ Output Tracking Control (2008, result): “Similar ideas appear in [18] and [ 20 ], which have been shown to be potentially less conservative than those using the model transformation method.”
• Stability and Stabilization of Delayed T--S Fuzzy Systems: A Delay Partitioning Approach (2009, methodology): “STABILITY ANALYSIS In this section, by employing the instrumental idea of delay fractioning, where similar ideas have also appeared in [16] and [20], a new Lyapunov–Krasovskii functional candidate for T–S fuzzy time-delay systems is introduced.”
• A survey of linear matrix inequality techniques in stability analysis of delay systems (2008, background): “in press) is also related to systems with multiple delay components investigated in Lam, Gao, and Wang ( 2007 ).”
• Stability analysis of systems with time-varying delay via relaxed integral inequalities (2016, methodology): “Later, the improved FWM approaches [16, 17, 18] without ignoring such term were developed and used to be the most popular method for studying of different time-delay systems [19, 20, 21].”
• 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]).”
• A Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks (2014, background): “For the case of two additive time delay components, some stability results are presented in [136] and [302].”
• ${\cal H}_{\infty}$ Estimation for Uncertain Systems With Limited Communication Capacity (2007, methodology): “The performance of the filtering error system is then analyzed by defining a new Lyapunov‐Krasovskii functional, which treats the two successive delay components separately [ 18 ].”
• Stabilization of Networked Control Systems With a Logic ZOH (2009, background): “They can be handled separately [9]–[14] or simultaneously [15]–[20].”
• Stability analysis of linear systems with two additive time-varying delays via delay-product-type Lyapunov functional (2017, methodology): “Moreover, the usage of the reciprocally convex combination avoids some enlargement treatments, such as d(t) is directly enlarged to its upper bound h [4].”
• Networked control systems: a survey of trends and techniques (2020, background): “Keeping this in mind, a logic zero-order-hold mechanism is introduced to actively drop out those disordered packets [75].”