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About the Lyapunov exponent of sampled-data systems with non-uniform sampling
- Source :
- TDS'09, 8th IFAC Workshop on Time Delay Systems, TDS'09, 8th IFAC Workshop on Time Delay Systems, Sep 2009, Sinaia, Romania, Scopus-Elsevier
- Publication Year :
- 2009
- Publisher :
- Elsevier BV, 2009.
-
Abstract
- International audience; In this paper we propose a method for evaluating the Lyapunov exponent of sampled-data systems with sampling jitter. We consider the case of systems in which the sampling interval is unknown, time-varying and bounded in a given interval. In order to take into account the inter-sampling behaviour of the system, the problem is addressed from the continuous time point of view. The approach exploits the fact that the command is a piecewise constant signal and leads to less conservative stability conditions. Using geometrical arguments, a lower bound of the Lyapunov exponent can be expressed as a generalized eigenvalue problem. Numerical examples are given to illustrate the approach.
- Subjects :
- 0209 industrial biotechnology
MathematicsofComputing_NUMERICALANALYSIS
Nonuniform sampling
Sampling (statistics)
0102 computer and information sciences
02 engineering and technology
Lyapunov exponent
01 natural sciences
Upper and lower bounds
symbols.namesake
020901 industrial engineering & automation
010201 computation theory & mathematics
Control theory
[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering
Bounded function
symbols
Piecewise
Applied mathematics
Lyapunov equation
Lyapunov redesign
Mathematics
Subjects
Details
- ISSN :
- 14746670
- Volume :
- 42
- Database :
- OpenAIRE
- Journal :
- IFAC Proceedings Volumes
- Accession number :
- edsair.doi.dedup.....c00a0233d09740dd72e3fd917d6d28aa