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Stability analysis of time-delay systems A Lyapunov approach
- Source :
- Advances topics in control systems theory : Lectures notes from FAP 2005, A Loria; francoise-lamnabhi-lagarrigue; elena panteley. Advances topics in control systems theory : Lectures notes from FAP 2005, 328, pp.139-170, 2006, ⟨10.1007/11583592_4⟩
- Publication Year :
- 2006
- Publisher :
- HAL CCSD, 2006.
-
Abstract
- International audience; This chapter is devoted to the stability problem of time-delay systems using time-domain approach. Some basic concepts of time-delay systems are introduced. Then some simple Lyapunov-Krasovskii funtionals complete Quadratic Lyapunov-Krasovskii functional and discretization scheme are introduced with connections and extent of conservatism compared. The issue of time-varying delays are also discussed. The concept of Razumikhin Theorem is introduced. An alternative model of coupled difference-differential equations and its stability problem are also introduced. © Springer-Verlag London Limited 2006.
- Subjects :
- Differential equations
Razumikhin theorem
Time-delay systems
Stability analysis
Lyapunov-Krasovskii
Time-domain approach
Discretization scheme
[SPI.AUTO]Engineering Sciences [physics]/Automatic
Time varying- delays
System stability
Computer Science::Systems and Control
Timing circuits
Lyapunov-Krasovskii functionals
Time delay
Lyapunov functions
Delay control systems
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Advances topics in control systems theory : Lectures notes from FAP 2005, A Loria; francoise-lamnabhi-lagarrigue; elena panteley. Advances topics in control systems theory : Lectures notes from FAP 2005, 328, pp.139-170, 2006, ⟨10.1007/11583592_4⟩
- Accession number :
- edsair.dedup.wf.001..d7299d570060512145df9bc58650bb27