Technical Communique: Analytical stability bound for delayed second-order systems with repeating poles using Lambert function W

By YangQuan Chen, Kevin L. Moore. 2002

53 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Biomedical Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/af326d6180aeae6c84de764707a9719203b254a0

How researchers see this paper

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

In Aerospace Engineering

1. Sun Yi
2. Aleksandar M. Spasic
3. Mihailo P. Lazarevic

In Biomedical Engineering

1. Sun Yi
2. Aleksandar M. Spasic
3. Mihailo P. Lazarevic

In Statistical and Nonlinear Physics

1. Weihua Deng
2. Changpin Li
3. Jinhu Lu
4. Sun Yi
5. Aleksandar M. Spasic
6. Mihailo P. Lazarevic
7. Guanrong Chen
8. Jinde Cao

Citations in the corpus

• Stability analysis of linear fractional differential system with multiple time delays (2007, background): “They got a stability condition of (7), given by a transcendent inequality via the Lambert function [11, 14].”
• Time-Delay Systems: Analysis and Control Using the Lambert W Function (2010, methodology): “…(Hovel and Scholl, 2005; Wang and Hu, 2008) and extended to other cases, such as fractional-order systems (Chen and Moore, 2002a; Cheng and Hwang, 2006; Hwang and Cheng, 2005) and some special cases of systems of DDEs (Chen and Moore, 2002b; Shinozaki and Mori, 2006; Jarlebring and Damm, 2007).”
• Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach (2009, methodology): “An analytical approach was suggested by Chen and Moore, [18,19], who considered the analytical stability bound using Lambert functionW for a class of ordinary/fractional order of delay differential equations.”