Abstract
This paper deals with the problem of delay size stability analysis of single input-delayed linear and nonlinear systems. Conventional reduction, reduction linked by sliding mode, and linear memoryless control approaches are used for simple input-delayed systems to obtain the stability conditions. Several first order examples are investigated systematically to demonstrate the capabilities and limitations of the advanced stability analysis techniques including Lyapunov-Krasovskii functionals, Newton-Leibniz formula, and a newly addressed Lagrange mean value theorem. Numerical comparative results show the usefulness and effectiveness of the advanced delay size analysis techniques proposed in this paper.
| Original language | English |
|---|---|
| Pages (from-to) | 327-334 |
| Number of pages | 8 |
| Journal | International Journal of Automation and Computing |
| Volume | 10 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Aug 2013 |
Keywords
- Input-delayed systems
- Lagrange mean value theorem
- Lyapunov-Krasovskii functional
- reduction method
- sliding mode control