Dynamical analysis of the permanent-magnet synchronous motor chaotic system

Dynamical analysis of the permanent-magnet synchronous motor chaotic system

This paper is concerned with some dynamics of the permanent-magnet synchronous motor chaotic system based on Lyapunov stability theory and optimization theory. The innovation of the paper lies in that we derive a family of mathematical expressions of globally exponentially attractive sets for this c...

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Veröffentlicht in:Advances in difference equations 2017-03, Vol.2017 (1), p.1-10, Article 76
Hauptverfasser: Zhang, Fuchen, Liao, Xiaofeng, Mu, Chunlai
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Chaos theory
Computer simulation
Difference and Functional Equations
Dynamic stability
Dynamical systems
Functional Analysis
Mathematical models
Mathematics
Mathematics and Statistics
Optimization
Ordinary Differential Equations
Partial Differential Equations
Permanent magnets
Synchronous motors
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Beschreibung
Zusammenfassung:This paper is concerned with some dynamics of the permanent-magnet synchronous motor chaotic system based on Lyapunov stability theory and optimization theory. The innovation of the paper lies in that we derive a family of mathematical expressions of globally exponentially attractive sets for this chaotic system with respect to system parameters. Numerical simulations confirm that theoretical analysis results are correct.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-017-1118-1