Conference proceeding
Contraction methods for nonlinear systems: A brief introduction and some open problems
53rd IEEE Conference on Decision and Control, Vol.2015-(February), pp.3835-3847
12/2014
DOI: 10.1109/CDC.2014.7039986
Abstract
Contraction theory provides an elegant way to analyze the behaviors of certain nonlinear dynamical systems. Under sometimes easy to check hypotheses, systems can be shown to have the incremental stability property that trajectories converge to each other. The present paper provides a self-contained introduction to some of the basic concepts and results in contraction theory, discusses applications to synchronization and to reaction-diffusion partial differential equations, and poses several open questions.
Details
- Title: Subtitle
- Contraction methods for nonlinear systems: A brief introduction and some open problems
- Creators
- Zahra Aminzare - Dept. of Math., Rutgers Univ., Piscataway, NJ, USAEduardo D Sontagy - Dept. of Math., Rutgers Univ., Piscataway, NJ, USA
- Resource Type
- Conference proceeding
- Publication Details
- 53rd IEEE Conference on Decision and Control, Vol.2015-(February), pp.3835-3847
- Publisher
- IEEE
- DOI
- 10.1109/CDC.2014.7039986
- ISSN
- 0191-2216
- eISSN
- 2576-2370
- Language
- English
- Date published
- 12/2014
- Academic Unit
- Iowa Neuroscience Institute; Mathematics
- Record Identifier
- 9984065774102771
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